The problem with HexTracker is - it has no FineTune. So it will not work correctly as a player.
There is an excellent MOD player for STE (DMA), that plays 4, 6 and 8 channels MODs - all in 50-khz quality of sound!
I assume it should work also on TT (will have to check it out one day, btw).
Number by the title means the number of used channels.
PS: Use "Play" option after loading. The MODs don't start automatically.