length n = 109
dimension k = 5
alphabet length q = 3

minimum distance d = 72

generator matrix:
0000100010001000111000111000111000000111111011101110001111111110001111111110001111111111111111111111111111111
0001000100010011001011001011001001111000022101110111110001122221110001122221110001122221111112211221122112222
0010001000100101010101010101010110022002200110111011221220200121221220200121221220200121111121212121212221122
0100010001000110100110100110100222200220000111011102122122012002122122012002122122012001111211221122112222211
1000011112222000000111111222222121212121212111122220000000000001121121112122212212221210112000011122221121212

projective group of automorphisms generated by:
00010
10000
00100
01000
00001

01000
10000
00010
00100
00001