The generator matrix

 1  1  1  1  1  1  1  1  1  2  2  1  1  2  1  0  1  0  1  1
 0  2  0  0  0  0  0  0  0  0  0  0  2  2  4  2  4  4  6  2
 0  0  2  0  0  0  0  4  6  2  2  2  2  6  2  4  2  2  4  4
 0  0  0  2  0  0  0  6  6  2  6  0  4  2  6  2  0  2  2  2
 0  0  0  0  2  0  0  2  0  2  6  2  4  6  2  2  6  4  6  6
 0  0  0  0  0  2  0  2  4  2  4  4  2  0  6  2  6  0  6  6
 0  0  0  0  0  0  2  2  4  0  2  4  6  4  2  2  0  2  2  2

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

Homogenous weight enumerator: w(x)=1x^0+165x^12+168x^13+380x^14+544x^15+1261x^16+1968x^17+3216x^18+5520x^19+6210x^20+5488x^21+3464x^22+1984x^23+1182x^24+560x^25+336x^26+144x^27+137x^28+8x^29+28x^30+4x^32

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 9.79 seconds.