The 11 to 15 count you speak of would be average for most turkey guns throwing lead shot IMHO. When I test, I'm looking at the overall concentration of the pattern at 40, including the number of hits in the brain and spinal column. I want it to be tight and uniform, with few to no holes in the pattern. My goal is a load that gives me a clean kill 3" left or right of the bird at 40 yards, in either direction if things go wrong. I don't shoot the Nitro's (which are more like $5 each), since I achieve + 35 pellets in the down now zone, (not the whole turkey head outline), on a regular basis with Remington Hevi-shot from 40 paces. Not that there is anything wrong with shooting Nitro's mind you, but I can't see the need to spend the extra cha-ching for more hits than that.
Hey Long... why worry about shooting at 10? If he's there, he'll be the Legend of Sleepy Hollow.

Oh, and I see no impact change between 10 and 20... or 30 for that matter. Hold the bead right on and let 'er go.