The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+112x^12+140x^13+383x^14+470x^15+1042x^16+2038x^17+3600x^18+5478x^19+6100x^20+5630x^21+3574x^22+2034x^23+1116x^24+498x^25+360x^26+82x^27+76x^28+14x^29+19x^30+1x^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 5.57 seconds.