Segments of open framework auxiliary clamps are fastened together around a drilling riser. The clamps have depressions which mate with recesses in caps to hold auxiliary lines. Larger depressions and recesses hold choke and kill lines. The caps of the choke and kill clamps are extended radially through openings in buoyancy covers as mux clamp mounts. Extensions on mux clamps engage slots in the mux clamp mounts. Opposing channels in the mux clamps and covers hold inserts, with grooves in which multiplex lines are mounted.