length n = 90
dimension k = 6
alphabet length q = 3

minimum distance d = 56

generator matrix:
000001000001000000000000000000001111111111111111111111111111111111111111111111111111111111
000010000010000011111111111111110000000000000000111111111111222222222222111111221111222222
000100000100111100001111112222220000111111222222000000111222000000111222111112121222111222
001000001000112211220011220011221122001122001122001122002001001122001002111121122122122112
010000010000121212121202011201021212120201120102120201020010120102010020111211122212212121
100000100000211221122120101210202112212010121020212010200100121020100200112111122221221211

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