Sixteen inches is too much. You should not be adjusting a scope that much--unless it wasn't centered to begin with. You can do it, but you shouldn't have to unless something is wrong or you are intentionally trying to move it sixteen inches. A scope that is adjusted sixteen inches in a particular direction is not optically centered.
Things to consider:
1. Did the scope fit in the rings correctly when you laid it in the first time after installing the rings?
2. Those rings are 1 1/8" wide to accomodate the inserts, so you'll have to align w/ the inserts in place, unless you use a 1 1/8 dowel rod.
3. Check to make sure the scope adjustments are centered. Crank the windage and elevation all the way to one end or the other, then start moving it the other direction and count the number of clicks. Divide that by two, adjust back that number of clicks and you are in the center. Fire a new grouping.
4. The Burris adjustment knobs have a collar on them that you can use to mark a point, so use that for the half-way point to get started.
5. Call Burris, they're very helpful.
I installed DD rings and Signature inserts on a Rem. ADL .30-06 last summer. Boresighted at 25 yards, visually, and shot 2" high and 1" left on the first group at 100 yards. You should have similar adjustments, if it's over 5" then you need to look at the setup again. The inserts allow you to make large increment adjustments before having to touch the adjustments on the scope. The larger increment adjustments are typically used in lieu of shimming a traditional ring/base setup for long-range shooting applications though, that way you are pressuring the adjustment mechanism and you're looking down the center of the lenses.
Good luck.
