Penguin Undercover Market – Arnold Street, Penguin. Penguin Market is northern Tasmania’s largest market offering over 70 stalls, all under cover. Quality product lines include fine Tasmanian woodwork, jewellery, fashion, giftware, handmade craft and home wares, as well as fresh produce. Try the food court. Operates every Sunday from 9am to 3pm. Phone 0400 903 031.