The generator matrix

 1  0  0  0  1  1  1  6  1  1  1  6  0  6  6  1  1  1  4  4
 0  1  0  0  0  1  7  1  6  6  5  1  1  0  1  0  2  3  1  2
 0  0  1  0  1  1  2  3  3  4  2  2  5  1  4  7  7  2  5  6
 0  0  0  1  1  0  4  0  4  1  1  3  5  5  0  6  1  6  0  2
 0  0  0  0  2  0  0  4  4  0  4  2  6  6  2  6  0  4  2  6
 0  0  0  0  0  4  4  4  4  4  0  0  4  4  4  4  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+279x^14+448x^15+1452x^16+2328x^17+3856x^18+4888x^19+6113x^20+5008x^21+4096x^22+2192x^23+1347x^24+472x^25+244x^26+24x^27+15x^28+5x^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 7.22 seconds.