Tictac,
First: Ensure that there is no hum with input cable REMOVED fromt the TLP, but amp and speakers connected. This guarantees that there is an earth problem on the input side, from the computer.
If no, the problem is in the grounding of signal earth between TLP and amp.
If yes, the problem is in the grounding of signal earth between TLP and computer.
Usually, if it's 60Hz hum, it indicates magnetic coupling at the mains level. 120Hz is rectified; at DC, not mains, level. This implies that it could be picked up either in the layout of wires at the TLP or power amp transformers, or the PC (though this is less likely since PCs use switching supplies).
Hope this helps,
Hugh