Alright heres a check-list. Made by me to help you get better connection to your game.
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Server relays. ( Made by Harry )
Server Relays
This will help you get a better connection in-game. -
Make sure your Byond is up-to-date. Otherwise you could get stutters or lag.
BYOND - Make & Play Online Multiplayer Games - Community
[515.1636] is the latest. -
Your graphics card might be the problem as well, Make sure the drivers are updated.
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Also make sure to check this. BYOND Forums - BYOND Help - SS13 Dreamseeker Unresponsive, Chat Still Scrolls. Solution is CCLeaner. - Page 3