The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  2  0  0  0  1  2  2
 0  2  0  0  0  2  6  2  0  4  4  2  6  4  2  0  0  4  0  6
 0  0  2  0  2  2  6  0  0  0  2  6  4  6  4  2  2  6  6  2
 0  0  0  2  2  0  6  2  4  2  2  0  0  2  4  0  4  4  4  2
 0  0  0  0  4  0  0  0  0  4  0  0  4  4  0  4  0  4  0  4
 0  0  0  0  0  4  0  4  4  4  4  4  4  0  0  4  0  0  0  4
 0  0  0  0  0  0  4  4  0  0  4  4  0  4  4  4  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+88x^14+8x^15+333x^16+136x^17+644x^18+368x^19+925x^20+368x^21+704x^22+136x^23+266x^24+8x^25+100x^26+10x^28+1x^36

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 1.25 seconds.