length n = 81
dimension k = 7
alphabet length q = 3

minimum distance d = 51

generator matrix:
000000000000000000000000000000111111111111111111111111111111111111111111111111111
000000011111111111111111111111000000000000001111111111111111111111122222222222222
000111100000011111111112222222000111111122220000000001111111111222200000011122221
111012201122200001111120001122112000011200121112222220001122222111200111201212222
012010110201212220112220111212022122202011210020112220110201122222022002101121220
010111201012101221020202021121021212201111120122120121110120212012122012022022020
111000102111212121012112022022012021211002002011102001020002202121001020210000121

projective group of automorphisms generated by:
0000001
1000001
0100002
0010001
0001001
0000100
0000011