The current-production Model 10 is the 10-14. The Model 10 has been in production since 1957, and before that it was known as the "Military and Police".
1957: Begin stamping model number.
10-1 (1959): introduction of heavy barrel (the frame is slightly different for the heavy barrel, and changes to the standard-barrel variant were generally carried over to the heavy-barrel variant, thus the engineering changes happen in pairs)
10-2 (1961): change extractor rod thread for standard barrel
10-3 (1961): change extractor rod thread for heavy barrel, change front sight width from 1/10" to 1/8"
10-4 (1962): eliminate trigger-guard screw on standard barrel frame
10-5 (1962): change sight width from 1/10" to 1/8" for standard barrel
10-6 (1962): eliminate trigger-guard screw on heavy-barrel frame
10-7 (1977): change gas ring from yoke to cylinder for standard barrel
10-8 (1977): change gas ring from yoke to cylinder for heavy barrel
10-9 (1988): new yoke retention system, radius stud package, floating hand hammer nose bushing for standard barrel
10-10 (1988): new yoke retention system, radius stud package, floating hand hammer nose bushing for heavy barrel
10-11 (1997): MIM hammer/trigger + floating firing pin for standard barrel
10-12 (1997): MIM hammer/trigger + floating firing pin for heavy barrel
10-13 (2002): limited production 1899 commemorative edition
10-14 (2002): internal lock
I'm not certain if the "Classic" version of the Model 10 is a -15, or if its a -14 with wood grips and an old-style cylinder latch.
Your 10-10 with serial number CCP63xx appears to be a very late Model 10-10, dating to the end of the -10 manufacture. My copy of the Standard Catalog of Smith & Wesson, 3rd Edition lists CCD-prefix serial numbers shipping in October 1997, CCE-prefix serial numbers shipping in November 1997, and CCK, CCM, CCN, CCR, and CCW shipping in January 1998.