The generator matrix

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

generates a code of length 25 over Z16 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+154x^20+216x^21+468x^22+880x^23+1460x^24+1872x^25+1404x^26+960x^27+452x^28+152x^29+108x^30+16x^31+43x^32+4x^34+2x^36

The gray image is a code over GF(2) with n=200, k=13 and d=80.
This code was found by Heurico 1.16 in 2.36 seconds.