The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+32x^13+61x^14+68x^15+104x^16+380x^17+323x^18+1044x^19+50x^20+1068x^21+328x^22+396x^23+94x^24+52x^25+52x^26+28x^27+6x^28+4x^29+3x^30+1x^32+1x^34

The gray image is a code over GF(2) with n=80, k=12 and d=26.
This code was found by Heurico 1.16 in 2.44 seconds.