I'm not sure minimizing the score (at least, until you get to 0) is interesting, but anyway, I wrote a simple hill-climbing-with-random-perturbation routine and

I'm not sure minimizing the score (at least, until you get to 0) is interesting, but anyway, I wrote a simple hill-climbing-with-random-perturbation routine and let it run over and over for the last couple of days. So far my best has a score of 10: 12032213310013002 21301001102213023 30120303220111321 03330220131122010 22313133001012230 03123321011233102 20313010123321102 03022111302120233 31232100023232131 03201103213001212 11000232021331223 20221213031300031 13130132102302302 31103210230220313 12310021322030311 21012022213103330 12201332333120100