length n = 51
dimension k = 4
alphabet length q = 5

minimum distance d = 39

generator matrix:
000000011111111111111111111111111111111111111111111
011111100140120130340441331241442223224233234234334
101133401402013013404043134124142232242323342423343
110124204011201304034403312414412322422332423342433

projective group of automorphisms generated by:
1000
0010
0001
0100

1000
0010
0001
0100