length n = 52
dimension k = 4
alphabet length q = 8

minimum distance d = 43

generator matrix:
0001000111111111000111111111111111111111111111111111
0010111000234567111000234567112333356666113444467777
0100246357040602357246703050366135631236477146741347
1000735462703050462735040602636653133612747764144713

projective group of automorphisms generated by:
0010
1000
0100
0001

0001
1000
0010
0100