I'm going to add some more of my thoughts on this accuracy deal, instead of further modifying my previous post. On paper, I've been able to obtain 8" groups consistantly with black powder and 14 bore round balls in a 12 bore smoothy. Yes - it was a modern ctg. gun, but was a double which lends even more innaccuracy into the equation. I had to develope accurate loads for it to make it shoot as well as it did. I don't mind telling you that a 12 bore, laoded to give this kind of accuracy at 100 yards, in my case at least, kicks quite hard. Taylor was there when I was testing and can atest to my results. Spun me around like a weathercock - was one result. When I braced myself against the recoil, the stock broke through the wrist - was repared and held for further testing. I might also add the loads that shot the best were 7 drams 2F and a 484gr. round ball- not something one would want to shoot out of an 8 pound gun. I think my 'pelter' weighed 7 1/2 pounds. Bit brutal, but effective - that 7 dram load was the African load, by the way. See - recoil does come into it. I would be prepared to shoot around 100gr. to 120 2f in a 16 bore before finding it's most accurate load.
If that's too much recoil, a person could do as everyone else has and go to a smaller bore that will kick less but gives acceptable accuracy. That said, a 16 will likely shoot 80 to 85gr. 2f fairly well for shooting out to 40 yards. My 12 didn't like less than 151gr. (5 1/2 drams) I know Taylor's 10 bore Bess shoots reasonably well with 100gr. 2F. My 12 didn't like that load at all. One 20 bore I tested shot 3" for 5 shots at 50 yards using 85gr. 2F and a .023" denim patch with a .595" ball. It was a tighter combination than many guys will load in their 20 bore smoothbores, but does show what can happen. Many guys I've seen shooting 20's think even 75gr. 2F kicks to much, so they accept crappy accuracy when using 60gr. to 65gr. - but are apt to complain a lot when they miss consistantly. At 25 yards, most smoothbores will rival rifles for accuracy - ie: 1 hole for 5 shots. It's at longer ranges that rifles take over. We've done 2 1/2" at 50 yards with Taylor's Bess. It's a 10 bore, as I indicated and uses .740" balls with .030" denim patches. Tight, but seems to shoot quite cleanly - never needing to be wiped.