Wander around the fascinating Medina which has an easily mastered and logical layout where life and business go on much as they have for years and where tourists, although welcome, are few and far between.
Ride to Kerkenna on the ferry, with 8 trips a day costing about 800 millimes each way. In Kerkenna, get a taxi to the Hotel Cercina where you can walk the beach, or sit on their patio and enjoy tea looking over the bay. Check the times of the ferry's return, and make sure you get a taxi back in time! From the Grand Hotel you an also walk the beach, with your destination, the old Bourj, visible in the distance. About 1.5km each way, so give yourselves time to enjoy it. The Roman ruins beside the Bourj are opened to public as well.