'Tis a rather simple concept, really.
If a player leaves the [Server/Minigame, RTB Pref] that he/she is currently in within [RTB Pref] seconds of dieing, then a centered client message(Or whatever it's called, I'm trying to sound smart here.) is sent out to everyone in the [Server/Minigame] with the text, "[RTB Pref]", along with a comical sound effect. (Laughing or Something.)