The generator matrix

 1  0  1  1  1  0  1  4  1  1  1  1  1  1  2  2  1  4  2  1
 0  1  1  0  1  1  0  1  3  1  6  4  0  5  1  2  3  1  2  0
 0  0  2  0  0  0  0  2  0  6  4  2  2  4  0  2  6  2  6  4
 0  0  0  2  0  0  0  2  4  6  6  6  4  2  2  0  0  6  4  4
 0  0  0  0  2  6  6  2  4  2  2  6  6  6  4  0  2  6  4  4
 0  0  0  0  0  4  0  4  4  0  4  4  0  0  0  4  0  0  0  4
 0  0  0  0  0  0  4  0  0  0  4  4  4  0  0  4  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+48x^13+169x^14+272x^15+658x^16+960x^17+1885x^18+2800x^19+2752x^20+2808x^21+1918x^22+1040x^23+660x^24+208x^25+122x^26+48x^27+24x^28+8x^29+1x^30+1x^32+1x^34

The gray image is a code over GF(2) with n=80, k=14 and d=26.
This code was found by Heurico 1.16 in 1.82 seconds.