The generator matrix

 1  0  1  1  1  6  1  1  0  1  1  6  1  1  0  1  1  1  1  1
 0  1  3  6  1  1  0  3  1  6  1  1  0  3  1  3  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  4  0
 0  0  0  0  0  0  0  4  0  0  0  4  4  0  0  4  4  0  0  0
 0  0  0  0  0  0  0  0  4  0  0  4  4  0  4  0  4  4  0  4
 0  0  0  0  0  0  0  0  0  4  0  4  0  4  4  0  4  0  4  4
 0  0  0  0  0  0  0  0  0  0  4  0  4  4  0  4  4  0  4  4

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

Homogenous weight enumerator: w(x)=1x^0+36x^10+4x^11+100x^12+68x^13+188x^14+432x^15+662x^16+1840x^17+4872x^18+3800x^19+8712x^20+3800x^21+4952x^22+1840x^23+672x^24+432x^25+148x^26+68x^27+84x^28+4x^29+44x^30+9x^32

The gray image is a code over GF(2) with n=80, k=15 and d=20.
This code was found by Heurico 1.16 in 1.87 seconds.