A subcutaneously tunneled catheter set is disclosed in which a first multilumen catheter is connected to a second reinforced multilumen catheter. A tissue cuff is located near the connection between the two catheter tubes. The disclosure includes a multilumen connector made from a housing that provides conduits between two sets of ports which connect to catheter tubes at either end. The tissue cuff is connected around the outside of the multilumen connector. A multilumen locking connector is provided so that the subcutaneously tunneled multilumen catheter set may be connected directly to an exterior multilumen catheter tube.