The generator matrix

 1  0  0  1  1  1  2  1  1  4  1  1  4  6  1  1  0  0
 0  1  0  0  1  3  1  2  1  1  2  7  1  1  5  5  1  1
 0  0  1  3  3  0  1  1  6  1  2  1  5  3  0  1  4  6
 0  0  0  4  0  0  0  4  0  0  4  4  4  4  4  0  0  0
 0  0  0  0  4  4  0  4  0  4  0  0  0  4  4  4  4  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+218x^15+236x^16+362x^17+333x^18+380x^19+202x^20+164x^21+60x^22+26x^23+9x^24+2x^25+1x^26

The gray image is a code over GF(2) with n=72, k=11 and d=28.
This code was found by Heurico 1.16 in 0.0352 seconds.