The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+174x^14+602x^15+1315x^16+2136x^17+3949x^18+5070x^19+5948x^20+5362x^21+4080x^22+2238x^23+1269x^24+420x^25+149x^26+42x^27+10x^28+2x^29+1x^32

The gray image is a code over GF(2) with n=80, k=15 and d=28.
This code was found by Heurico 1.11 in 2.78 seconds.