Quad Damage

One of the three powerups, Quad Damage multiplies the damage of your weapons by four and lasts for 30 seconds. In DMM4 the damage factor is increased to eight. It will respawn 60 seconds after being picked up.

So if you pick up Quad on 0:10 and die a couple of seconds after, it does not matter when you die, because the Quad will spawn on 1:10 - even if you do not die at all.