The generator matrix

 1  0  0  1  1  1  2  0  1  1 14  1  4  1  1  1 12  1  1 12
 0  1  0  1  2  3  1  1  8  6  1 15 10  7  2 13  1  1  4  1
 0  0  1  1  1  4  7  2  6  3  1  7  1  0 12 12  2  3 13  4
 0  0  0  2  8 10  6 10 10  6  0 12 14 14  4  0 12 10 12 10

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

Homogenous weight enumerator: w(x)=1x^0+449x^16+1380x^17+3570x^18+6520x^19+8884x^20+6656x^21+3542x^22+1288x^23+422x^24+28x^25+22x^26+4x^28+2x^30

The gray image is a code over GF(2) with n=160, k=15 and d=64.
This code was found by Heurico 1.16 in 14.1 seconds.