Antioch, TN 37013. 2 days ago. $2.03update. There are 24 Regular gas price reports in the past 5 days in Antioch, TN Zip Code 37013. The average Regular gas price in Antioch, TN Zip Code 37013 is $1.99, which is $0.81 lower than U.S. national average Regular gas price $2.8. The lowest Regular gas price is $1.95 of Exxon located at 4198 Murfreesboro Rd, Antioch, TN 37013.