The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+256x^16+384x^18+776x^20+384x^22+236x^24+8x^28+3x^32

The gray image is a code over GF(2) with n=80, k=11 and d=32.
This code was found by Heurico 1.16 in 1.19 seconds.