length n = 78
dimension k = 4
alphabet length q = 5

minimum distance d = 60

generator matrix:
000111011100011111111100011111111100000011111111111111111111111111111111111111
011004101111100011223311100011444411111100000022223333444411231144112223334444
104040110112312302010314414404001422334422334400340024002312131414342341241234
440400111021321320103041441440140034242334242334002400230021134114433244213412

projective group of automorphisms generated by:
0001
1000
0100
0010

0100
1000
0010
0001