I read that GM trucks through 69 use 2 lettters for the axle code. 1970 up use 3 letters.
So its possible that you have a 68 C10 rear end according to this source http://www.gmcpauls.com/67-72_chevy.htm.

TR = 3.07
03 = month
13 = day
W = Warren, Michigan plant
2 = second shift


"Nothing astonishes men so much as common sense and plain dealing." - Ralph Waldo Emerson