I had a go and worked out a Gray code for 12 positions. There's probably a neater solution, or even some sort of algorithm for generating this, but this seems t

I had a go and worked out a Gray code for 12 positions. There's probably a neater solution, or even some sort of algorithm for generating this, but this seems to work :). 0110 0010 1010 1011 1111 1101 0101 0111 0011 0001 0000 0100