The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+147x^12+346x^14+192x^15+1828x^16+1728x^17+4528x^18+4224x^19+6787x^20+4224x^21+4500x^22+1728x^23+1860x^24+192x^25+352x^26+121x^28+2x^30+7x^32+1x^36

The gray image is a code over GF(2) with n=80, k=15 and d=24.
This code was found by Heurico 1.16 in 3.59 seconds.