Alright, I see what you were going for here, but it's a bit toooo difficult, especially with no map. The game assumes you'll want to restart multiple multiple times in order to figure it out. I got the first 3 runes, I remember encountering the next door SOMEWHERE, but couldn't remember where and I had already gone through several tries indeed and even mapped a portion of the map. The game could benefit from either a map or some more movement timer or, at the very least, not penalizing you when you turn and only when you move.
Good idea though.