All barrel lengths will vibrate, barrel length will change the frequency, size or shape of the vibration if you will. All barrels\guns will have a sweet spot where they like to shoot. This spot can be found by experimenting with different powders, amounts of powder, bullet types and weights.
Have fun. The experimenting is part of the fun. It's also very satisfying to work with a gun enough to see for yourself what it likes to shoot best. I have seen centerfire rifles that the owner said wouldn't shoot bettern than a 2" group at 100 yards. After working with the shooters form and different loads the gun easily began throwing one inch groups. This same process holds true for muzzleloaders.
And believe me there is much to be said about the person pulling the trigger. The shooting bench and rests also come into play when your trying to work up a load for a particular gun.
Have fun and good luck.
Henry