Abstract: A refractory brick wall system for towers and the like which includes an outside casing and a plurality of bricks laid up in a pattern on the inside of the casing. Tie-back devices secure the bricks to the casing and allow for relative horizontal and relative vertical movement between the bricks and the casing. A plurality of shelves are fixed to the inside of the casing at vertically spaced intervals to provide support for the bricks in vertical sections thereof. A lightweight, insulating refractory material is cast between the casing and the bricks. The bricks themselves are shaped with ring and groove sides for interlocking of the bricks in a laid-up wall construction thereof.