The generator matrix

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

generates a code of length 20 over Z8 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+77x^16+262x^18+372x^20+230x^22+58x^24+18x^26+4x^28+2x^30

The gray image is a code over GF(2) with n=80, k=10 and d=32.
This code was found by Heurico 1.16 in 0.0111 seconds.