The generator matrix

 1  1  1  1  1  1  1  1  2  0  8  1  1  1  1  4  2  1  0  1
 0  2  0  2  8 10  0  2 14  2  4 12  6 12 14  2 12 14  2  8
 0  0  2  2  4  6  6  4 10  8  2  2  0  4  6 10  6  2 12  0

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

Homogenous weight enumerator: w(x)=1x^0+30x^17+164x^18+216x^19+279x^20+164x^21+92x^22+24x^23+39x^24+14x^25+1x^28

The gray image is a code over GF(2) with n=160, k=10 and d=68.
This code was found by Heurico 1.16 in 0.0068 seconds.