A first attempt

My first attempt at getting the distance matrix was marred by several problems. Firstly, the labyrinth was not empty at all this time, the rooms teeming with blood raider minotaur battleships. Probably they have notices our earlier incursion and sent in reinforcements. I had to slip through their defenses to deploy the different drones in the different rooms.

However, there is another problems. The enemies tend to destroy the drones I leave around. I didn't make it to the central theatre, the ten drones I left in the the ten rooms started the get whittled away so that I could not take all measurements. 

I am left with a woefully short matrix:

The rows (and columns) go from room 0 to room 9, and the last row (and column) is for the central theatre. It should be symmetric (the small differences of the order of a few dozen km come from the positioning of the drone within the room. I could remove some question marks by symmetrizing the matrix, but it is clear that at this point I only have enough information to determine the relative spatial locations of rooms 0,1,2,3,4 and 6. Perhaps not too bad for a first try.