length n = 126
dimension k = 6
alphabet length q = 3

minimum distance d = 81

generator matrix:
000000000011111000000000000000000000000000000111111111111111111111111111111000001111111111111111111111111111111111111111111111
000000111100002000000000000111111111111111111000000000000000000111122222222111110000011111111111122222222111122111111122222222
000111000200020000111111111000000000111222222000000000111222222000200000012111221112200011111122200111222111212111222211112222
011002002000200111000112222000112222002000012000112222002000012002000001200112121121211200112201112011022112112122112211221122
102020020002000122122020012122020012020001200122020012020001200020000120000121121211212112020110112101202121112212121212121212
220200200020000212212201200212201200200120000212201200200120000200012000000211122111221121201011012110220211112221211221121221

projective group of automorphisms generated by:
001000
100000
010000
000100
000010
000001

000100
100000
001000
010000
000010
000001

000010
100000
001000
000100
010000
000001

000001
100000
001000
000100
000010
010000