The generator matrix

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

generates a code of length 20 over Z8 who´s minimum homogenous weight is 13.

Homogenous weight enumerator: w(x)=1x^0+74x^13+398x^14+1054x^15+2309x^16+4492x^17+7737x^18+10834x^19+11827x^20+10580x^21+7817x^22+4674x^23+2341x^24+972x^25+299x^26+78x^27+33x^28+10x^29+5x^30+1x^32

The gray image is a code over GF(2) with n=80, k=16 and d=26.
This code was found by Heurico 1.16 in 18.4 seconds.