The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+143x^14+172x^15+711x^16+976x^17+2164x^18+2380x^19+3167x^20+2560x^21+2190x^22+900x^23+712x^24+176x^25+108x^26+4x^27+16x^28+3x^30+1x^36

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 18 seconds.