length n = 57
dimension k = 4
alphabet length q = 5

minimum distance d = 43

generator matrix:
000111000000111111011111111111111111111111111111111111111
011001001111000023101111123112222333344112223334444223344
101010110023002300110111321231234123423342341241234342423
110100232300230000111013121323412214323433244213412434232

projective group of automorphisms generated by:
0001
1000
0100
0010

0100
1000
0010
0001