length n = 147
dimension k = 9
alphabet length q = 3

minimum distance d = 81

generator matrix:
000000000000000000000000000000000000000011111111111111111111111111111111000011111111111111111111111111111111111111111111111111111111111111111111111
000000000000000000001111111111111111111100000000000000000000111111222222011100011111111111122111111111111111111111111222222222222222222222222222222
000000000111111111110000000000011111222200000000000111112222000002000012101101100111111111212111111111222222222222222111111111111111222222222222222
001111111000000022220000000222211111000000001111222000020001000020000102110101111001111112112111222222111111222222222111111222222222111111111222222
110011122000022200020011122001200002000100220002002111110000000200002010101110111010111121112122112222122222111112222112222111122222111112222111122
110200202011201200101100212010000020012002021111000000200021002000020100110111001110111211112212221222211222112221112121222112211122112221122112211
022011100102110001021102010010200200210011100020012002001200020000120000111011010011112111112222222112212122221121121212122221111212121221211121212
201102010211001020100211100201002000002111100200210020001020200000102000111010101101121111112222122221222211221211211221212121212211221121112212121
111120012120110221002020002200020000200020022000200200000200111111000000011111110100211111112221212122221212122212121222221212122111212212111221111

projective group of automorphisms generated by:
000000001
000000010
000000100
100000000
001000000
010000000
000010000
000001000
000100000

100000000
000010000
000000010
010000000
000000100
000000001
000001000
000100000
001000000