The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+104x^16+24x^17+148x^18+104x^19+272x^20+104x^21+160x^22+24x^23+50x^24+28x^26+4x^28+1x^32

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 0.0223 seconds.