If it's the over 8600gvwr it will be 14bff, also known as the K2500 HD. K2500 LD got a 14bsf, so do some checking. If your unfamilier with how the axles look, just take a look at the lower a-arms up front, if they are cast iron, it's an HD. If they are stamped sheet metal, it's a LD. Some under 8600gvwr turned into 14bff and cast a-arms if they had the snow-plow prep package. You DO NOT want the stamped a-arm version. They bend very easily and can't keep alignment for nothing, so your chewing tires and balls joints all the time.
I've got a '97 6.5TD, K2500 HD regular cab, long bed. Nice truck, I bought it in canada actually, it's got 297,000km on the ticker. Runs good. Change the fuel filter often (every other oil change), so an expierenced 6.5 diesel mechanic told me. Mines a manual tranny (NV4500

) and 3.73 rear , I get 20 all day long, if towing 4-place sno-mo trailer in 4wd going 55mph, she gets about 16-18. I've never gotton below 16 or 17. But, manual tranny, so mabey a big difference.
My "little box" has never given me trouble. But '97 was first year for drive by wire (no throttle cable, has electric acell pedal), so I think that whole system got overhauled in '97. The injection pump was replaced at 87,000mi under warranty. The first fuel pump has been replaced twice, if it goes out there's a main pump within the injection pump, truck runs, but if you accell hard it dies out, there's a secondary pump under the drivers side footboards on the frame rail, I've had to replace that twice. Other than that, glow plugs, once, change the oil, and she's good to go. Oh...sorry, the oil filter adaptor that breaks off the lines to the oil cooler, the orings in it go bad constantly. I ordered 10 of each off gmparts direct.com (theres 3 orings). I just replace them now every other oil change. If they go bad, the thing spews about a quart every 100 miles, so I just got in the habit of changing them. There's 2 on the giant bolt thing that holds the adaptor on, and 1 big one for the adaptor to engine block seal. It's a very well documented problem with the 6.5.