The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+93x^12+184x^13+480x^14+1272x^15+2513x^16+4816x^17+7614x^18+10104x^19+11320x^20+10112x^21+7702x^22+4840x^23+2500x^24+1264x^25+442x^26+168x^27+83x^28+8x^29+18x^30+2x^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 17.7 seconds.