The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  1  2  2  0  0  1  1  1  1
 0  2  0  0  0  0  0  0  0  2  2  2  4  2  2  2  2  4  0  0
 0  0  2  0  0  0  2  6  2  2  2  0  6  6  4  0  4  2  4  0
 0  0  0  2  0  2  2  6  0  0  0  2  4  6  6  0  2  2  2  4
 0  0  0  0  2  2  0  6  2  0  4  0  2  2  2  4  2  0  6  4
 0  0  0  0  0  4  0  0  4  0  4  4  0  4  0  4  0  4  4  4
 0  0  0  0  0  0  4  0  4  0  0  0  4  4  0  4  4  4  0  4
 0  0  0  0  0  0  0  4  4  4  0  4  4  4  4  4  0  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+45x^12+122x^13+200x^14+296x^15+527x^16+1100x^17+1676x^18+2548x^19+3262x^20+2576x^21+1756x^22+1188x^23+478x^24+276x^25+196x^26+60x^27+37x^28+22x^29+12x^30+4x^31+2x^32

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 1.87 seconds.