The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  4  1  2  1  1  2  4  1  2
 0  1  1  0  1  1  3  0  1  4  7  1  3  1  7  6  6  2  5  0
 0  0  2  0  0  0  0  6  6  0  2  4  2  2  4  0  2  0  6  4
 0  0  0  2  0  6  2  6  6  0  6  4  6  4  6  2  2  0  0  0
 0  0  0  0  2  0  2  6  6  2  2  2  4  0  0  2  4  2  6  4
 0  0  0  0  0  4  0  0  0  0  4  4  4  0  0  0  4  4  4  4
 0  0  0  0  0  0  4  0  0  0  4  0  0  0  4  4  0  4  0  4
 0  0  0  0  0  0  0  4  0  0  0  0  0  0  0  4  4  4  4  4
 0  0  0  0  0  0  0  0  4  4  0  4  4  4  0  0  0  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+257x^12+16x^13+816x^14+624x^15+3071x^16+3664x^17+8992x^18+7984x^19+14594x^20+7984x^21+9152x^22+3664x^23+3066x^24+624x^25+736x^26+16x^27+253x^28+16x^30+6x^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 16.6 seconds.