Autobrake software program? That's a bit fancy. There's no rocket science in this. All they do is decelerate the aircraft at a certain rate.
Regardless of the autobrake setting you are still putting a lot of energy into the brakes in the scenario you describe. Fairly heavy landing weight. High density altitude (i.e. high TAS). And tailwind. You would have been better off landing into wind (there's roughly 12 knots off your touchdown groundspeed right there) and using a lower autobrake setting (1 or 2) to let reverse thrust do more of the slowing down.