Gra snake (klient - serwer) - problem z synchronizacją

 namespace SnakeServer
    {
        public struct DataClients
        {
          public DataClients(int Id, TcpClient Socket)
          {
            this.Id = Id;
            this.Socket = Socket;
          }
          public int Id {get; set;}
          public TcpClient Socket {get; set;}
        }
        public class Program
        {
           private static TcpListener _serverListener = null;
           private static Int32 _port = 8888;
           private static IPAddress _localAddr = IPAddress.Parse("127.0.0.1");
           public static List<DataClients> _clientSockets = new List<DataClients>();
           static void Main(string[] args)
           {
              _serverListener = new TcpListener(_localAddr, _port);
              _serverListener.Start();
              Console.WriteLine(" >> " + "Server Started");
              Console.WriteLine("The local End point is  :" + _serverListener.LocalEndpoint);
              while (true)
              {
                 TcpClient _clientSocketNew = _serverListener.AcceptTcpClient(); 
                 DataClients data = new DataClients(_clientSockets.Count + 1, _clientSocketNew);
                _clientSockets.Add(data);
                 handleClient client = new handleClient();
                 client.startClient(_clientSocketNew);
              }
          }
          public class handleClient
          {
            private TcpClient clientSocket;
            public void startClient(TcpClient inClientSocket)
            {
                clientSocket = inClientSocket;
                Thread clientThread = new Thread(doChat);
                clientThread.Start();
            }
            private void doChat()
            {
                while (true)
                {
                    try
                    {
                        String toSend;
                        BinaryReader reader = new BinaryReader(clientSocket.GetStream());
                        toSend = reader.ReadString();
                        if(toSend[0] == '!')
                        {
                            foreach(DataClients ct in _clientSockets)
                            {
                                if(ct.Id == (int)Char.GetNumericValue(toSend[1]))
                                {
                                    _clientSockets.RemoveAt(ct.Id - 1);
                                    break;
                                }
                            }
                            break;
                        }
                        if (_clientSockets.Count > 1)
                        {
                            for (int i = 0; i < _clientSockets.Count; i++)
                            {


                                if (_clientSockets[i].Socket != clientSocket)
                                {
                                    BinaryWriter writer = new BinaryWriter(_clientSockets[i].Socket.GetStream());
                                    writer.Write(_clientSockets[i].Id.ToString() + "*" + toSend);                
                                }
                            }
                        }
                        else
                        {
                            BinaryWriter writer = new BinaryWriter(clientSocket.GetStream());
                            writer.Write(_clientSockets[0].Id.ToString() + "*" + "0");
                        }                        
                    }
                    catch (Exception ex)
                    {
                        Console.WriteLine(" >> " + ex.ToString());
                    }
                }
            }
        }
    }

  namespace SnakeGame
    {
        public partial class GamePlay : UserControl
        {       
           TcpClient clientSocket = new TcpClient();
           NetworkStream serverStream;
           private DispatcherTimer timer;
           private int snakeSpeed = 80;
           private string coordinatesToSend;
           Snake snake;
           List<Food> food;
           Random rd = new Random();
           //Here I have some other variables but they have no meant in this case (there aren't related to connection)
           public GamePlay()
           {
              InitializeComponent();
              snake = new Snake(x, y);
              snake.InitSnake();
           }
		
	       private void UserControl_Loaded(object sender, RoutedEventArgs e)
           {
               this.KeyDown += UserControl_KeyDown;
               this.Focusable = true;
               this.Focus();
            
               addfoodincanvas();
               addsnakeincanvas();
            
	           clientSocket.Connect("127.0.0.1", 8888);
               InitTimer();
           }

           void InitTimer()
           {
              timer = new DispatcherTimer();
              timer.Tick += new EventHandler(TimerTick);
              timer.Interval = new TimeSpan(0, 0, 0, 0, snakeSpeed);
              timer.Start();
           }

           void TimerTick(object sender, EventArgs e)
           {
	       //Here some code responsible for movement of snake

	       //Here is some code to check collision snake with food

	       //snake is composed of objects SnakePart class 
           foreach(SnakePart part in snake.Parts)
           {
                coordinatesToSend += part.X.ToString();
                coordinatesToSend += ",";
                coordinatesToSend += part.Y.ToString();
                coordinatesToSend += ";";
           }
            
	       serverStream = clientSocket.GetStream();
           BinaryWriter writer = new BinaryWriter(serverStream);
           writer.Write(coordinatesToSend);
            
           string fromServer;
           BinaryReader reader = new BinaryReader(serverStream);
           fromServer = reader.ReadString();
	       //I receive some strings from server (each of that strings contains the id of client and coordinates of his snake)
           //I split that strings by separators and draw snakes of the enemies in my canvas based on this coordinates. 
        }
    }