The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+69x^16+220x^17+264x^18+322x^19+376x^20+268x^21+228x^22+184x^23+78x^24+24x^25+4x^26+6x^27+4x^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 0.0321 seconds.