Abstract: A system for linking adjacent cuff sets for boiler tubes in parallel. A pair of contoured, plate-like adapter links is shaped to fit over the endmost cuff portions of two endwise mated cuff sets, and then secured to the endwise mated cuff sets to hold them in parallel. In a preferred form the adapter links are radially connected by a male throughpiece such as a bolt or bar extending through a keyway formed integrally in the end faces of the mated cuff sets. In a further preferred form, the end cuff portions of the mated cuff sets include welding tangs adapted to fit into welding slots formed in the adapter links so that the adapter links can be welded to the tangs, thereby locking the mated cuff sets together in a lengthwise direction.