length n = 123
dimension k = 9
alphabet length q = 3

minimum distance d = 66

generator matrix:
000000001000000000000000000001111111111111111000011111111000011111111000000000000000011111111111111111111011111111111111111
000000010000000000011111111110000000000111111011100011111011100011222000000111111111100000000001111222222101111111111111122
000000100000000111100001111110000111111000000011111100011022222211000111111000000222200000022221112000012110111111111111212
000001000001111001100110000110011000011000011101101101101101201202012001222001222001200111200220020002201111011111111112112
000010000110011010111000001010101001100000101110110110101120112002201110012002122110012002200110202120000111101111111121112
000100000011101101011000110000101010001011000111001110110221002120102120011221200001121220011000202001200111110111111211112
001000000111100110001010010101010000110100100111011011001112020102120002122110012220021002212002000001120111111011112111112
010000000100111110010101001001010110000001010110111001110210210220021221200120011002212220000122000110020111111101121111112
100000000111010001100111100001100101000110000101110111010202121020210222100222100120000121122000020220001111111110211111112

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

001000000
100000000
010000000
000001000
000000010
000000100
000000001
000100000
000010000