Sorry, the feed from batteries would be 24 volts. This would feed well pump so i am thinking 120/240 volts. Crap, forgot to test the probe, will do it tonight.
6000 watts * 1.15 conversion efficiency / 24 volts = 287.5 dc amps.
That is a lot of current and will require 4/0 awg cable and a special bms configuration or multiple batteries.
Aims or Sigineer should have inverters that do what you require.
I suggest 48 volts.