The Heights of Benbrook Share: Apartments The Heights of Benbrook Visit Website 9510 Westpark Drive Benbrook, TX 76126 (817) 249-7400 About Map About Beautiful Apartment Community conveniently located just off of Interstate 20. Now offering Fully Renovated, Apartment Homes with upgrade packages available. What's Nearby? Distance: 5 10 15 20 25 50 mi.