Fully stocked grocery store offers special dietary items and organic produce and meats. Founded in 1930, Publix Super Markets is the largest and fastest-growing employee-owned supermarket chain in the United States. Publix grocery store at Holmes Beach (Store #00681) 3900 E Bay Dr Holmes Beach, FL 34217-1983 Main: (941) 778-5422 Store Hours: Sun 7:30 AM - 9:30 PM Mon 7:30 AM - 9:30 PM Tues 7:30 AM - 9:30 PM Wed 7:30 AM - 9:30 PM Thurs 7:30 AM - 9:30 PM Fri 7:30 AM - 9:30 PM Sat 7:30 AM - 9:30 PM.