The generator matrix

 1  0  0  1  1  1  2  1  1  1  0  0  1  1  4  1  6  1  1  1
 0  1  0  1  0  3  1  0  2  1  1  1  3  0  1  2  2  5  0  0
 0  0  1  1  1  0  1  2  3  1  2  3  0  3  0  1  1  2  2  0
 0  0  0  2  0  6  0  2  2  2  2  6  2  2  0  4  2  4  0  0
 0  0  0  0  2  0  0  0  0  2  4  2  2  6  2  4  0  6  6  0
 0  0  0  0  0  4  0  0  4  0  0  0  4  4  4  0  4  0  0  0
 0  0  0  0  0  0  4  0  4  0  4  4  0  0  4  4  0  0  0  0
 0  0  0  0  0  0  0  4  4  4  0  4  0  4  4  4  4  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+81x^12+136x^13+562x^14+1042x^15+2553x^16+4526x^17+7436x^18+10658x^19+11430x^20+10686x^21+7584x^22+4582x^23+2498x^24+1018x^25+532x^26+102x^27+73x^28+18x^29+14x^30+4x^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 15.7 seconds.