length n = 81
dimension k = 4
alphabet length q = 8

minimum distance d = 68

generator matrix:
000100011111111100011111111100011111111111111111111111111111111111111111111111111
001011100023456711100034467711100023356611125112222455557113444467777222344555677
010035724670305034467700043456623365600011521251245212575477146741347345425267725
100046273504060276743476700032365600032315121525421221755747764144713457232472556

projective group of automorphisms generated by:
0010
1000
0100
0001

0001
1000
0010
0100