The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+153x^14+384x^15+523x^16+710x^17+591x^18+716x^19+481x^20+344x^21+159x^22+20x^23+10x^24+2x^25+1x^26+1x^28

The gray image is a code over GF(2) with n=72, k=12 and d=28.
This code was found by Heurico 1.16 in 0.127 seconds.