The generator matrix
1 0 0 1 1 1 6 1 1 1 1 6 2 1
0 1 0 1 0 7 1 7 3 6 0 1 1 4
0 0 1 1 1 0 1 1 3 2 2 4 6 0
0 0 0 2 0 0 0 0 2 4 6 2 4 2
0 0 0 0 2 6 6 4 2 6 4 6 6 0
generates a code of length 14 over Z8 who´s minimum homogenous weight is 9.
Homogenous weight enumerator: w(x)=1x^0+60x^9+204x^10+426x^11+1077x^12+1274x^13+2047x^14+1366x^15+1085x^16+408x^17+178x^18+46x^19+13x^20+2x^21+3x^22+2x^23
The gray image is a code over GF(2) with n=56, k=13 and d=18.
This code was found by Heurico 1.16 in 0.221 seconds.