length n = 77
dimension k = 4
alphabet length q = 4

minimum distance d = 57

generator matrix:
00000000000000000111111111111111111111111111111111111111111111111111111111111
00001111111111111000000000000111111111111111122222222222222223333333333333333
01110230231122133011033022123001023023113312201300201311223320120030121132233
10122303021212313001212313320011213321020230302113121003022330311213100202332

projective group of automorphisms generated by:
1000
0100
1001
0111