The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+24x^13+130x^14+264x^15+450x^16+1496x^17+1528x^18+3336x^19+1920x^20+3336x^21+1548x^22+1496x^23+440x^24+264x^25+120x^26+24x^27+2x^30+5x^32

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 22 seconds.