Powder today delivers higher speeds than the powder that was used in Lyman's book. This is very evident in the .58 cal. My little Musketoon, with only 24" of barrel, achieved 1,308fps with a mere 75gr. 2F. According to the "book" it should have been getting somehting like 1,077fps.
Moving the screens back will ALWAYS show a reduction in speed. It is impossible for the ball to accellerate once it leaves the muzzle as all propulsion is gone. The reason you showed higher speeds, is due to fouling building in the gooves, tightening the ball and patch combination, resisting the powder's pressure and causing it to deliver more energy to the ball - hanse, higher speeds.
The variation shot to shot is due to the same thing- if the combination was tighter, the velocity extremes would be closer, shot to shot. Rifles and smoothbores, for that matter, will deliver very close shot to shot velcoity speads with certain loads, other loads showing more spread. A while back, I printed out the velcity testing I did with my .58 Hawken, a heavy barreled S. Hawken Taylor built many years ago. I believe it had a Bill Large barrel, which I tested form 90gr. to 200gr. 2F, Meteor, C&H and GOEX or GOX - whatever it was. I've lost most of the data but still have some.
What was most intersting, was I also tested Bear's oil lubed patches. In all instances when lubed with the oil instead of spit, velocity spreads more than doubled. I used a .022" denim patch - (10oz. I assume), with a .575" ball. My best shot to shot strings had less than 10fps shot to shot variation.
doulos - your speeds are quite comendable. The Swiss powder you used is some 20% "better"/"hotter" than GOEX, BTW, judging by what Ross Seyfried printed about equivelent loads for regulating loads to shoot to the sights of antique rifles. With GOEX of today, those speeds, ie: 1,700fps should be achievable with 120gr. of 2F.