To add to this, in general,the tighter constriction chokes handle smaller shot better. So, your extra full .687 choke may pattern #4 shot better than the .665. The 665 is an excellent all around choke for both lead and heavier than lead shot in #6 and #7 shot.
About the only absolute in shotgun patterning is that you absolutely must try it out to be certain of what your gun and choke will do with a particular choke, shell and shot size, lead or HTL at any given distance.
What you see at 30 yards ain't about to be near that at 40 I guarantee that.