The generator matrix

 1  1  1  1  1  1  1  1  2  2  1  2  0  2  2  1  2  1  1  1
 0  2  0  0  0  2  6  2  0  0  4  2  2  4  6  6  2  0  6  0
 0  0  2  0  2  2  6  0  0  2  4  0  2  2  0  4  6  0  4  0
 0  0  0  2  2  0  6  2  2  2  0  2  2  0  0  4  4  6  6  0
 0  0  0  0  4  0  0  0  0  0  0  4  0  4  0  4  4  4  0  0
 0  0  0  0  0  4  0  0  0  0  0  4  4  4  4  4  0  0  0  0
 0  0  0  0  0  0  4  0  0  0  0  0  4  4  0  4  0  4  4  0
 0  0  0  0  0  0  0  4  0  4  4  4  0  0  4  4  4  0  4  0
 0  0  0  0  0  0  0  0  4  4  4  4  4  4  0  4  4  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+118x^12+62x^13+245x^14+396x^15+508x^16+1660x^17+713x^18+3996x^19+880x^20+4056x^21+806x^22+1700x^23+464x^24+356x^25+262x^26+52x^27+74x^28+10x^29+21x^30+3x^32+1x^34

The gray image is a code over GF(2) with n=80, k=14 and d=24.
This code was found by Heurico 1.16 in 1.67 seconds.