77 1/2 ton 4x4 question

[conoverbandit]

Hey y'all,
I got some questions about my truck.My truck has the "auto" hubs on it, does this mean it has a 203t-case?
When i turn my wheels either left or right and get the gas it tries to "walk" or "wobble"( like when you lock in and turn real sharp) except i don't have to turn sharp. A decent and it will do this,I really like the 4x4 set up all i got to do is throw it in 4H and all 4 seem to pull, but when in 2H it seems to pull in the front axle. is this possibe? My dad said that some K10's were like this, I know i cleaned the T-case and it had C/K 10 wrote on it with some sort of paint.Could'nt find anything that said 203 or anything I was just wondering if the walking was something to be conserned about or if it was just the way these trucks was with auto hubs. Thanks conoverbandit