The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+145x^16+64x^17+364x^18+192x^19+548x^20+192x^21+328x^22+64x^23+126x^24+12x^26+12x^28

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 0.0845 seconds.