length n = 90
dimension k = 7
alphabet length q = 3

minimum distance d = 54

generator matrix:
000000100000000000000011111111111111100000111111111101111111111111111111111111111111111111
000001000000011111111100000000011222201111000011222210111111112211112211112222221111222222
000010011111100000012200000012202001210122012202001211011111121211121212221112221222111222
000100000012200012221211222200000000022012120220020111101111211211211221221221122122122112
001000012200012221200002001221200000021220202120102011110112111212111222122121212212212121
010000021221221200000020120000020120012201221002210011111021111221111222212212112221221211
122222200000000000000000000000000000022121211212122111111100000022222112212121122112121221

projective group of automorphisms generated by:
0000010
0001000
1000000
0000100
0100000
0010000
0000001

0001000
0000010
0010000
0000100
0100000
1000000
0000001