The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+161x^12+628x^14+240x^15+2258x^16+1584x^17+4084x^18+4320x^19+6299x^20+4320x^21+3900x^22+1584x^23+2380x^24+240x^25+604x^26+163x^28+1x^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 4 seconds.