The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  2  0  1  1  1  2  2
 0  2  0  0  0  0  0  0  0  2  4  2  2  4  2  6  2  4
 0  0  2  0  0  4  6  2  2  2  0  4  4  6  4  4  0  2
 0  0  0  2  0  6  6  6  4  0  0  0  6  6  6  4  4  4
 0  0  0  0  2  2  4  6  2  0  2  6  2  4  0  2  6  0

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

Homogenous weight enumerator: w(x)=1x^0+56x^13+105x^14+126x^15+227x^16+328x^17+367x^18+342x^19+228x^20+120x^21+71x^22+42x^23+24x^24+8x^25+1x^26+2x^27

The gray image is a code over GF(2) with n=72, k=11 and d=26.
This code was found by Heurico 1.16 in 0.1 seconds.