length n = 111
dimension k = 7
alphabet length q = 3

minimum distance d = 67

generator matrix:
000000000011111111111111111000000111111110000001111111111111111111111001111111111110000000111111111111111111111
000111111100000001111222222001111000022220111110000011111111111222222110011111222221111111000000011112222222222
011000112200011220022000022110022002200221111120011200001112222001112120000112001121122222000111111220001122222
102012000001201110012112212020200010222122011212200201120111122001222010201011010012200122002022201120220000011
220001001120222000110000111000022212101101101220201101201221122011010100202002221201222001121001222112121200222
011220010021111012100010011022201011110002112211220221101120112102200211201101221121112122100001210212212202102
100210210102101020011002222210110020200221112201111210210102120112201111210221210212121212221212222001000221020

by truncation of 112