The generator matrix

 1  0  1  1  1  6  1 12  1  1  1 14  1  1  8 14  1  1  1 12  2  1  1  1  2
 0  1 11  6 13  1  8  1 11 13  6  1 10  1  1  1  3  9 15  1  1  4  9  1  2
 0  0 12  0  4  0  0  8  8  0  0  8  0  8 12 12  8 12 12 12  4  8  0 12  4
 0  0  0 12  0  0  4  8 12  4  8 12  0  4  8  8  0 12 12 12  0 12  8  0  0
 0  0  0  0  8  0  8  8  8  0  0  8  8  0  0  8  0  0  0  0  8  0  8  0  8
 0  0  0  0  0  8  0  8  0  0  8  8  8  8  0  0  0  8  0  0  8  8  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+194x^20+188x^21+748x^22+1924x^23+3415x^24+3464x^25+3430x^26+1912x^27+735x^28+188x^29+138x^30+4x^31+36x^32+2x^34+3x^36+2x^38

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 3.98 seconds.