The generator matrix

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

generates a code of length 20 over Z8 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+70x^14+252x^15+216x^16+480x^17+978x^18+1452x^19+1554x^20+960x^21+982x^22+820x^23+270x^24+96x^25+6x^26+36x^27+6x^28+12x^30+1x^32

The gray image is a code over GF(2) with n=80, k=13 and d=28.
This code was found by Heurico 1.16 in 52.4 seconds.