The generator matrix

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

generates a code of length 20 over Z8 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+404x^14+1072x^15+2690x^16+4228x^17+7895x^18+10012x^19+12629x^20+10088x^21+8379x^22+4392x^23+2377x^24+852x^25+405x^26+76x^27+31x^28+5x^30

The gray image is a code over GF(2) with n=80, k=16 and d=28.
This code was found by Heurico 1.11 in 10.3 seconds.