The generator matrix

 1  0  1  1  1 12  1  1  6  1  2  1  1  1  1  0  1  1  1  1
 0  1  1  0  3  1  6 15  1 10  1 13  4  2  4  0  1  3 10  0
 0  0  2  6  0  2  8 10 12  6  2  8 12 12  6  2 14  2  4 12
 0  0  0 12  8 12  0  4 12  0  8 12  8  0  4  8 12  8  4 12

generates a code of length 20 over Z16 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+75x^16+436x^17+838x^18+1664x^19+2160x^20+1754x^21+797x^22+328x^23+92x^24+32x^25+4x^26+8x^27+2x^29+1x^30

The gray image is a code over GF(2) with n=160, k=13 and d=64.
This code was found by Heurico 1.16 in 0.202 seconds.