This is the BBC Micro version of 'Doctor Who and the Mines of Terror'.

So I wondered if I could bypass almost everything in the game by returning the TIRU crystal to the starting TARDIS position. I was surprised it worked, and the only real tech I'm using is 'High Jump' and 'Ceiling Clip'.

The Speedtech:

Highjumps - Hitting the 'use' button during a jump can give extra height to a jump.

Ceiling Clips - Hitting the 'jump' button, releasing it and then holding the 'use' button can clip you through ceilings. Often this results in a highjump in combination with the clip, which is usually necessary to get all the way through a ceiling.