The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+58x^14+240x^15+737x^16+1180x^17+1875x^18+2604x^19+2858x^20+2792x^21+1917x^22+1176x^23+642x^24+188x^25+85x^26+12x^27+18x^28+1x^30

The gray image is a code over GF(2) with n=80, k=14 and d=28.
This code was found by Heurico 1.16 in 1.46 seconds.