Hi. According to the very informative
Takumar Field Guide there were five versions of the Super Takumar 55mm F2, which were produced from 1962 through to 1974.
If you look under the 'Auto/Man' switch there should be a 5 digit product number which will identify the specific model (e.g.37103)
Your serial number falls in the 'Mid Model II' range so it appears to have been made between 1967 & 1971.
Early Model I Produced 1962 to October 1963. Serial Numbers 561xxx - 862xxx. AOCo Product No. 345-3.
Late Model I Produced October 1963 to 1965. Serial Numbers 839xxx - 1756xxx. AOCo Product No. 345-6.
Early Model II Produced 1965 to 1966. Serial Numbers 1763xxx - 2308xxx. AOCo Product No. 37102.
Mid Model II Produced 1967 to 1971. Serial Numbers 2188xxx - 4706xxx. AOCo Product No. 37103.
Late Model II Produced 1971 to 1974. Serial Numbers 4719xxx - 6556xxx. AOCo Product No. 37107.
Hope that helps.
Fred.