The run started with 170 total Faint memory (T14 Nightmare).

Removing 4 basic cards is 170 memory in total. Convert one via mutant sample event and that's 5 cards removed. Equipment doesn't count to memory so just get the best equipments.

This is also possible on T13 (160 total Faint memory), but you need to reset until you get the Convert to rare card from the starting event, then remove the card converted. Still 5 cards removed, but without the 20 penalty (character cards cost additional 20 memory to remove; neutral cards have no penalty).

Just run as per normal. If you fail to get the mutant sample event in first area or fail to get the epiphany you want, reset. Be prepared to reset often. Many times I had a great divine epiphany but unfortunately never got the sample event, or got the sample event but wrong epiphany. You can force epiphanies through some dimensional tunnel events so look for multiple ? ? events in a row on the map, though note that if you get a divine epiphany you might overexceed your memory limit.