The generator matrix

 1  0  0  0  1  1  1  6  1  1  1  1  2  6  6  4  2  2  1  1
 0  1  0  0  0  1  1  1  6  7  6  7  1  2  1  4  4  1  0  5
 0  0  1  0  1  1  0  1  0  4  5  1  3  1  0  6  1  6  7  0
 0  0  0  1  1  0  1  1  3  6  6  3  2  1  3  1  3  2  5  5
 0  0  0  0  4  0  0  0  0  0  4  0  4  4  4  4  4  0  0  4
 0  0  0  0  0  4  0  0  4  0  0  0  4  0  0  4  4  0  4  4
 0  0  0  0  0  0  4  0  0  0  0  4  4  4  0  0  4  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+199x^14+528x^15+1292x^16+2184x^17+4033x^18+4936x^19+6239x^20+5040x^21+4299x^22+2176x^23+1143x^24+456x^25+171x^26+40x^27+29x^28+2x^30

The gray image is a code over GF(2) with n=80, k=15 and d=28.
This code was found by Heurico 1.16 in 34.1 seconds.