No no. Phantom power is NEVER used with Tube microphones. Your power supply is powering the microphone with voltage in excess of 48v...
The power supply is not a gain stage however-- it simply provides voltage to the capsule and tube(s)... you still need to use the preamp on the MPC 4k (and set the input to Mic) or use an external preamp and record into the MPC at line level. Remember that all mic preamps do is raise the approx. -40/-50 db signal of the mic to a useable line level signal as if it were a keyboard or cd player...