The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+48x^13+118x^14+196x^15+254x^16+296x^17+636x^18+1472x^19+2060x^20+1556x^21+678x^22+324x^23+249x^24+144x^25+72x^26+56x^27+27x^28+4x^29+1x^36

The gray image is a code over GF(2) with n=80, k=13 and d=26.
This code was found by Heurico 1.16 in 0.658 seconds.