I don't believe any thicker
I don't believe any thicker head gaskets are available. I think I've done it with and without machining. In one case, I had trouble removing the head as one of the EGR studs was not removed and I made some scratches in it. Machining fixed that. If you check for flatness and it's within spec, I doubt machining would be required. I believe there's also a min head thickness so check that if machining. I'd turn it upside down and if it won't leak gasoline past the valve seats, I wouldn't worry much. Maybe check for cracks.