length n = 48
dimension k = 5
alphabet length q = 3

minimum distance d = 30

generator matrix:
000000001111111111111111111111111111111111111111
001101110000112200001122001112220011122211112222
001210120000121211220000120120121201201211221122
110022201122000002010201122011202122010122121211
120021011212000020101020212101022110122012112212

projective group of automorphisms generated by:
10000
00010
00001
00100
02000