The generator matrix

 1  0  1  1  6  1  1  1  6  1  1  4  1 10  1  2  1  4  1 14
 0  1  1  6  1 11 13  4  1  2 15  1  4  1  7 14  9 12  0  1
 0  0  2  0  8  4 12 10  6 10  6 10 14  2  2  2  0  2  2  2
 0  0  0  8  8  0  8  0  8  8  8  0  0  8  0  0  0  8  8  0

generates a code of length 20 over Z16 who´s minimum homogenous weight is 17.

Homogenous weight enumerator: w(x)=1x^0+220x^17+529x^18+934x^19+770x^20+964x^21+454x^22+152x^23+29x^24+32x^25+9x^26+2x^27

The gray image is a code over GF(2) with n=160, k=12 and d=68.
This code was found by Heurico 1.16 in 4.86 seconds.