length n = 114
dimension k = 6
alphabet length q = 3

minimum distance d = 72

generator matrix:
011111000001111111111111111111111111000000000011111111111111111111111111111111111111111111111111111111111111111111
101111111110000011111111111122222222111111111100000000001111111111111111222222222222222222222222111111221111222222
110111111221112200011111122200111222111122222211112222220000111222222222000000111111111222222222111112121222111222
111011112121121211200112201112011022122211122212221112221222022000112222111222000112222000111122111121122122122112
111101121121211212112020110112101202212212211221221221122122202122020012122112122020012112001201111211122212212121
111110211122111221121201011012110220221221212122122121212212220212201200212121212201200121120010112111122221221211

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