BRUpax same thing. Door closed, ramp retract, ATC pushback request and actual pushback are supposed to be all done in 60 secs. Thats the theory. Of course it never works in practice.
ACARS can be cheated by releasing the brakes before main door closure. Closing the doors with brakes not parked will give an ACARS time off blocks (ACARS time is doors or brakes, whichever occurs later). But this means talking to the ground engineer first.