length n = 56
dimension k = 4
alphabet length q = 5

minimum distance d = 42

generator matrix:
00011100000011111101111111111111111111111111111111111111
01100100111100002310111123112222333344112223334444223344
10101011002300230011011321231234123423342341241234342423
11010023230023000011103121323412214323433244213412434232

projective group of automorphisms generated by:
0001
1000
0100
0010

0100
1000
0010
0001