The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+76x^12+60x^13+316x^14+412x^15+1308x^16+1828x^17+4772x^18+3852x^19+7468x^20+3852x^21+4876x^22+1812x^23+1312x^24+396x^25+268x^26+68x^27+72x^28+8x^29+8x^30+3x^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 4.28 seconds.