The generator matrix

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

generates a code of length 20 over Z8 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+39x^12+192x^13+463x^14+1152x^15+2312x^16+5132x^17+6836x^18+11976x^19+9342x^20+11892x^21+6898x^22+5168x^23+2316x^24+1204x^25+388x^26+136x^27+67x^28+12x^29+7x^30+3x^32

The gray image is a code over GF(2) with n=80, k=16 and d=24.
This code was found by Heurico 1.16 in 13.9 seconds.