The problem is almost always caused by the pins being the same size as the hole in the tang. They need to be a snug fit on the bolsters, but should have some slop through the tang.
Why the bolsters rise up is;
As you peen the pins, they are compressed down their length between the hammer and the anvil. This causes them to swell in diameter. This is the desired effect at the chamfered hole on the bolsters, but not what you want at the tang. If the fit is tight at the tang as well as the bolster, the pin will try and squish out in the minute gap between the two. This is a very powerful force, akin to hydraulic pressure. Even firm clamping may not be enough to prevent the bolsters from raising up a little. As most makers have learned. no amount of hammer bashing will make it go down flat again.
The solution is to have a place for that expansion to go. Drill the tang hole with at least 5% extra room. For a .1250" pin that would be a .131" hole. This will eliminate the raised bolsters.
Also, gentle peening to expand only the ends of the pins, not hard pounding, will greatly reduce the chance of a lifted bolster.