In 1960 Chevrolet changed the Corvette VIN configuration, going to a 12 digit VIN instead of the previous 10 digit. The added 2 digits distinguish between coupe and convertible body style. However, there was still no digit specifying 6 or 8 cylinder engine. This wouldn't be added until the 1965 Corvette.
1960 Corvette Example VIN - 12 digits
1st digit - Model Year: 0 = 1960, 1 = 1961, 2 = 1962, 3 = 1963, 4 = 1964
2nd+3rd digit - Model: 08 = Corvette
4th+5th digits - Body Style: 37 = Coupe, 67 = Convertible
6th digit - Assembly Plant: S = St. Louis
7th-12th digits - Production Sequence Number: Starts at 100001 with each Corvette produced being assigned the next number in sequence. Last sequence number should equal total production for that year in almost all cases.
Decoding the VIN is just the first step when looking at potential Corvettes for sale. It's also important to confirm "matching numbers" (ie. verify original equipment like engine, transmission, axles, etc. )