Many operators with home based 8/6 and 15/13.
In addition to flyExclusive and Gama, I believe that XOJET, Red Wing, Travel Management, FlexJet, and of course, Netjets are home based as well, with 8/6 and 15/13 schedules.
Netjets is in its own league with 7/7 and 14/14 schedules, I believe.
Also, there are many air ambulance companies that also offer a 7/7 schedule with 12 hour shifts, where you can be home every night.