The generator matrix

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

generates a code of length 18 over Z8 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+54x^14+224x^15+259x^16+284x^17+414x^18+312x^19+228x^20+192x^21+58x^22+8x^23+8x^24+4x^25+2x^26

The gray image is a code over GF(2) with n=72, k=11 and d=28.
This code was found by Heurico 1.11 in 0.0723 seconds.