1927 it will be date code (month/year) stamped, please see related links for information on the Remington Society of America.
Depends on the model.
Remington Works - 1914 (late)
your Remington model 6 was made in 1998,due to the S prefix on the serial#.
1912
1920
1924
1923
1912
1912
1917
1919
1913