The other error people regularly make when patterning is to do only one type of patterning when, in fact, they need to do two:
1. Does the gun shoot where it's supposed to?
2. Do YOU shoot the gun where it's supposed to?
#1 is done using either a rest or a very steady hold. #2, because we point shotguns rather than aiming them (when shooting at flying targets), requires that you mount and fire as you would at a flushing bird (or clay target off a trap).
#1, if you're on target, verifies that you don't have a problem with a barrel (or barrels) that throws the pattern off target.
#2 is a check to make sure the gun fits. If it doesn't, because you don't have time to make it fit when you're mounting and firing at a flying target, then you have a fit issue rather than a barrel issue.
15-16 yards work for both of those tests.