length n = 189
dimension k = 7
alphabet length q = 3

minimum distance d = 119

generator matrix:
000000100011110000111000000000000111111111111111100000000000000000000000000000000000011111111111111111111111111111111111111111111111101111110000001111111111111111111111111111111111111111111
000001001100110011001000011111111000000001111111100000000000011111111111111111111111100000000000000000000000011111111111122222222222210111111111110000001111111111112222222222222222221112222
000010001111001100001111100001111000011110000111111111111111100000000000011111111222200000000000011111111222200000000222200001111222211011111111221111220000222222220011111111222222221221122
000100010101010101010011101110011011100110011000100011112222200011112222200001122001200011112222200001122001200001122000100120001000211101111222121222121222001122221200112222001111222121212
001000011001101001100101110110101101111000101001012201120012211200220112200120201010212201120012211220000120000120201001002100010002011110112122212122122122120201222122220011120112012211221
010000011010010110100110111011010110101011100010011220201210212212012010212002010201021210211200202010201021012210000010012000100020011111012212212212212212222210011212021202211021102122121
100000010110101010010111011101100111010101010100021212011202021221102102021210000210011222001212020102010100221002010100010021000200011111102221122221212221212022102121202120112200112212112

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

0010000
0100000
1000000
0000010
0000001
0000100
0001000