length n = 178
dimension k = 5
alphabet length q = 3

minimum distance d = 117

generator matrix:
0111000001110000011101110000111100001111000011110000111100011111000111110111111101111111001111110011111100111111001111110111111101111111001111110011111100011111011111110111111111
0000001112220011122201110011002200110022001100220011002211111222111112221000011210000112110011221100112211001122110011221000011210000112110011221100112211111222100001121000011211
0000000120120001201200121111122211021201110212011102120100222001022000110112222001122220020011010200110101002202010022021112211211122112120000121200001211111222211220012112200102
0000112121121121211212120000000011112122221112222211122200000000000000001121211211212112221211112212111121122212211222120000000000000000121222121212221222222111112121121121211200
1012010010110100101120101202111201010112022021010220210102101120102010121120002211200022100202101002021022211220222112201020201010202010121012221210122201212012201220202012202022

projective group of automorphisms generated by:
11201
01220
02200
00010
11100