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

minimum distance d = 38

generator matrix:
000000000011111111111111111111111111111111111111
010111111100101020303041121213141423232424334344
101012323401010203030401212131414132324242343434

projective group of automorphisms generated by:
100
001
010

100
001
010