The generator matrix

 1  0  0  0  1  1  1  2  4  1  1  0  2  6  1  1  1  1
 0  1  0  0  0  1  1  1  1  2  2  4  0  1  7  5  7  6
 0  0  1  0  1  1  0  1  7  4  5  2  1  0  2  3  3  1
 0  0  0  1  1  4  5  3  6  5  0  1  1  1  6  4  4  2
 0  0  0  0  4  0  4  4  4  0  4  4  0  0  0  0  4  0

generates a code of length 18 over Z8 who´s minimum homogenous weight is 13.

Homogenous weight enumerator: w(x)=1x^0+62x^13+355x^14+596x^15+1093x^16+1092x^17+1712x^18+1256x^19+1101x^20+486x^21+331x^22+84x^23+12x^24+8x^25+2x^26+1x^28

The gray image is a code over GF(2) with n=72, k=13 and d=26.
This code was found by Heurico 1.16 in 0.349 seconds.