Corpus Christi, TX 78419-5130. Get Directions. Naval Health Clinic Corpus Christi website. 1-361-961-2688; appointments: 1-361-961-6000. Family Practice Clinic: Monday: 0730 - 6:00 p.m. Tuesday - Friday: 7:30 a.m - 4:30 p.m. Closed on Saturday and Sundays. After hours, weekends and holidays: Call 1-361-961-2688.