length n = 52
dimension k = 4
alphabet length q = 4

minimum distance d = 37

generator matrix:
0000001111110111000111111111001111111111111111111111
0011110000231011111000112233110022331123112222233333
1100230023001101123123030201232303021321231233312223
2323002300001110321321302010323230203121323312321232

projective group of automorphisms generated by:
0001
1000
0100
0010

0100
1000
0010
0001