length n = 112
dimension k = 8
alphabet length q = 3

minimum distance d = 64

generator matrix:
0000000000000011111111111111111111111111111111111111111100000001111111111111111111111111111111111111111111111111
0011111111111100000000000011111111111111222222222222222201111110000001111111222222221111111111112222222222222222
1100111111222200111112222200011112222222000000011111222210112220112220001122001112221111222222221111111122222222
2212001122111212011220222202200120011122011112200012011221120221120121220201020120121222111222221112222211111222
1211122201122021202221012211212000001202200111212211102022122011012212122010201200122122122112221221122211222111
1122220112012212112021110210122211220000122012201220012022011212211021020221211002012212222121122122211212112112
2222122010112111221121201021120022212012212200111000200211202211201222201100212021102222212211212211212122121121
1212221221200221120102212122001201200110212122020201210121212102121200122012110122002221221222112222121121211211

projective group of automorphisms generated by:
00000010
00010000
00000100
10000000
01000000
00001000
00100000
00000001

01000000
00001000
00000100
00000001
00010000
10000000
00000010
00100000