Apartments in San Antonio Palomino Apartments Sophisticated Style in San Antonio Exquisitely located inside of Loop 1604 at I-10, Palomino Apartments at 14111 Vance Jackson Road, San Antonio, TX 78249 is home to true Texas style and grace, offering easy access to all the very best shopping and dining that San Antonio has to offer. Our variety of spacious one and two bedroom apartments means you’ll easily find a apartment that’s perfect for your needs along with all the luxurious amenities your heart desires, here in the heart of San Antonio. And Palomino is pet-friendly, so your four-legged family members will be right at home, too! You’ll love the many features and options of your new apartment at Palomino.