length n = 37
dimension k = 5
alphabet length q = 3

minimum distance d = 23

generator matrix:
0011010111011101110111111111111111111
0102101011101210221012111122112211222
1200011101122021012202111212121222221
2020101110220112202120112112211222112
1121001111121111210000120000222112120

projective group of automorphisms generated by:
00010
10000
01000
00100
00001