The generator matrix

 1  0  0  0  1  1  1  2  6  1  1  2  2  1  4  0  1  1  0  1
 0  1  0  0  4  1  5  1  1  6  5  1  4  2  1  6  4  1  1  6
 0  0  1  0  5  1  4  5  0  2  6  7  1  5  2  1  1  2  3  4
 0  0  0  1  1  4  5  5  3  5  2  0  3  2  7  7  2  0  7  6

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

Homogenous weight enumerator: w(x)=1x^0+200x^16+356x^17+658x^18+548x^19+607x^20+568x^21+628x^22+280x^23+195x^24+36x^25+10x^26+4x^27+5x^28

The gray image is a code over GF(2) with n=80, k=12 and d=32.
This code was found by Heurico 1.16 in 0.155 seconds.