length n = 78
dimension k = 4
alphabet length q = 4

minimum distance d = 58

generator matrix:
000100000011111101110001111111110001111111110011111111111111111111111111111111
001000111100002310111110001122331110001122331100223311231123112233112222233333
010011002300230011011231230201031231230302012323030212131321231213231233312223
100023230023000011102132132010303213213020103232302021133121232131323312321232

projective group of automorphisms generated by:
0001
1000
0100
0010

0100
1000
0010
0001