length n = 84
dimension k = 7
alphabet length q = 3

minimum distance d = 53

generator matrix:
000000000000000000000000000000111111111111111111111111111111111111111111111111110111
000000000011111111111111111111000000000001111111111111111111122222222222222222221012
001111111100001111111122222222000011111220000000000112222222200000001111111222220000
110011112211120002222201111122111201112010000112222220000112200111120011122011120111
011200220211210220012200011211002120121000222220001000022021212011200212202102211012
202122120101102010221220212002120201100101011110020011101201020002201210122010220111
121001222211001001101001211210211110020101102120120210210100010121220001001200111012

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