About Summit Primary Care. Summit Primary Care is a group practice with 1 location. Currently, Summit Primary Care specializes in Family Medicine with 8 physicians. ... Summit Primary Care. 3939 Central Pike Ste 352 Hermitage, TN 37076 (615) 883-2331. Monday : 7:00 AM - 6:00 PM: Tuesday : 7:00 AM - 6:00 PM: Wednesday : 7:00 AM - 6:00 PM ....