Brian,
I can't see any problem with the way you are shooting the rifle and cadet is correct about the "school solution" to a rifle "shooting wide". However, to get higher velocities you would have to go to a bullet that is lighter than you want or handload the bullet you do want. You said the scope was factory mounted in EAW mounts, but didn't report the make. Most doubles are regulated without scope and if the customer wants one, it is mounted later, usually outside the factory. I know from sad experience, mounting a scope on an already regulated double can change the "regulation". Did you buy the rifle new? If so, did it come with documents describing the ammo it was regulated with, maybe with a sample target? If you have that info and the ammo is different than you tried, you may want to check it. You could have the rifle re-regulated, but that would be an expensive and time consuming operation. You might want to try RWS ammo, it may give higher velocities than the Norma, and I'm sure it will be faster than Privi(both are good ammo). New England Custom Guns is now importing RWS ammo.
Mike