West Parking Garage (6th floor), 21st St and Louisville Ave, Lubbock, TX 79410. 806-725-0476. 806-725-0476 Laboratory Services. 3615 19th St, Lubbock, TX 79410. 806-725-4252. 806-725-4252 ... ABOUT COVENANT HEALTH. About Us. Annual Report to the Community. Community. News. Vendor Information. RESOURCES. For Employees. Careers. Classes and Events.