Is there an actual hole in the center of the primer, or it the primer just blacked from around the primer pocket? Pierced, or perforated primers as they're called, have been reported by those using rifle barrels on shotgun frames.
You can have zero gap between the frame and barrel face, but still have excess headspace due to the chamber or rim cut being cut too deep, one of the first steps in barrel fitting is to make sure a sized case is flush with the chamber face when chambered, if it's recessed very much, the barrel face should be flat filed to reduce the headspace. Headspace on a break barrel is that recess amount plus the barrel to frame gap, the total amount has to be .006" or less according to SAAMI as Slufoot mentioned, .001"-.0015" is much better.

Tim