About Covington, TN | Primary Care At our Covington, TN primary care clinic, we are committed to serving the healthcare needs of Covington, Brighton, Henning and surrounding areas with a focus on accessibility. We proudly accept most insurances, including Medicaid and Medicare, as well as catering to self-pay patients. Conveniently situated across the Hwy from Walmart Supercenter, our clinic is your go-to destination for comprehensive family healthcare services, including urgent medical attention. Our dedicated team of providers and nurses are passionate about promoting preventative wellness and the ongoing management of chronic conditions. We believe in delivering friendly, hassle-free wellness and preventive care throughout your life.