The generator matrix

 1  0  1  1  1  6  1  1  8  1 14  1  1  4  1 10  1  2  1  1  1 12  1  1  2
 0  1 11  6 13  1 12  7  1 10  1  5  3  1  8  1 14  1 11  4 13  1 14  5  6
 0  0 12  0  4  0  0  4  4  8 12  0  0  4  4  8  4 12 12  4  8  0 12  0  8
 0  0  0  8  0  0  0  0  0  0  0  0  8  8  8  8  0  8  8  8  0  8  8  0  0
 0  0  0  0  8  0  0  8  8  0  0  8  8  8  0  0  8  0  0  0  8  0  8  8  0
 0  0  0  0  0  8  0  8  8  8  8  8  0  0  0  0  8  8  8  8  8  0  8  8  8
 0  0  0  0  0  0  8  0  0  8  0  8  0  8  0  0  8  0  8  8  8  8  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+232x^20+160x^21+614x^22+2432x^23+2270x^24+5056x^25+2102x^26+2432x^27+778x^28+160x^29+98x^30+41x^32+2x^34+6x^36

The gray image is a code over GF(2) with n=200, k=14 and d=80.
This code was found by Heurico 1.16 in 41.1 seconds.