length n = 147
dimension k = 7
alphabet length q = 3

minimum distance d = 92

generator matrix:
000000000000000000000000111111111111111111000000000111111111111000000000000111111111111111111111111111111111111111111111111111111111111111111111111
000000000000111111111111000000000000112222000111111000000111111001111111111000000000011111111222222222222111111111112222222222111111111222222222222
000000111111000000112222000000112222000000111000111000111000111110011222222001122222200111222000000111222111111222221111122222111222222111111222222
001111001122000022020001001222000000000012011111001011011001001221102011122121200111222022022001222011000111222111221112211222122112222112222111122
111222120000001200200020000012020001020200101011011101101110000121220101112212012022202000202112011202011122112112121121212122222221112121122112212
220012000202122200001200122100200020000000111101100110100011010112122220201220212202121202110120202000101212121121121211212212212121222221212221111
122100222010210012000000220000001200201000110110110111010100100212212222010112221110020220000212110220220221211211122111212221221222121212221121211

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

0000010
0000100
0010000
0000001
0100000
1000000
0001000