The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1
 0  2  0  0  0  0  0  0  0  2  6  2  0  4  4  2  6  4  4  6
 0  0  2  0  0  0  2  6  2  2  2  4  4  6  0  2  0  2  6  0
 0  0  0  2  0  2  2  2  4  4  0  0  6  6  6  2  2  0  2  2
 0  0  0  0  2  2  4  6  2  4  2  2  6  2  0  6  2  0  4  6
 0  0  0  0  0  4  4  4  0  0  4  4  0  0  4  4  0  4  4  4

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

Homogenous weight enumerator: w(x)=1x^0+62x^14+108x^15+137x^16+184x^17+208x^18+724x^19+1232x^20+752x^21+201x^22+180x^23+158x^24+88x^25+40x^26+12x^27+8x^28+1x^38

The gray image is a code over GF(2) with n=80, k=12 and d=28.
This code was found by Heurico 1.16 in 4.28 seconds.