The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  1  4  1  2  1  1  1
 0  2  0  2  0  4  2  6  0  4  2  6  4  0  2  0  6  4  0  0
 0  0  2  2  0  2  6  4  0  2  2  0  2  6  6  6  4  4  4  0
 0  0  0  4  0  0  4  0  4  4  0  4  0  0  4  4  0  4  0  0
 0  0  0  0  4  4  4  4  4  4  0  4  4  4  4  0  0  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+35x^16+48x^17+15x^18+144x^19+20x^20+160x^21+36x^22+16x^23+8x^24+16x^25+12x^26+1x^34

The gray image is a code over GF(2) with n=80, k=9 and d=32.
This code was found by Heurico 1.16 in 0.00548 seconds.