A dozen or so hens and a couple of gobblers make a group that is adequate for reproducing. If you put five times as many in, they may not populate any faster. The preferred habitat for wild turkey is live oak-grassland interspersions. In winter, spring and early summer, the birds feed on nuts, berries, seeds, insects and the occasional snake. In autumn, they eat a large amount of acorns.
Acorns are highly nutritious.
Turkeys love them, and so do wild hogs, deer and bear. Domesticated fowl love acorns, too, and periodically a turkey will escape the confines of its cage and join the wild birds for a meal under the oaks. It sounds harmless, but it's not. Domestic birds carry diseases that can be fatal to wild toms and hens. If they come to a barnyard where there is food, they will join the other birds.