Royal Palm Beach: S State Rd 7 – Store # 01046 April 1, 2009 By Michelle. Leave a Comment Subscribe to my FREE Newsletter and get great Publix deals delivered to right to your inbox. Thanks for visiting! The Groves at Royal Palms (Store #01046) 127 S State Road 7 Royal Palm Beach, FL 33414-4338 Main: (561) 615-1705 Pharmacy: (561) 615-1711 Competitors accepted: Whole Foods, Target & Winn Dixie. Thanks Kate!