The generator matrix

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

generates a code of length 20 over Z8 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+42x^10+116x^12+226x^14+128x^15+730x^16+640x^17+1780x^18+3328x^19+2392x^20+3328x^21+1780x^22+640x^23+760x^24+128x^25+226x^26+84x^28+42x^30+13x^32

The gray image is a code over GF(2) with n=80, k=14 and d=20.
This code was found by Heurico 1.16 in 0.842 seconds.