The generator matrix

 1  0  1  1  1  4  1  1  4  1 12  1 10  1  1 14  1  1  1  1 12  1  1  1  1
 0  1  1  0  3  1  1  8  1 12  1 11  1 11  5  1  6  3 15  7  0  1 14  4 10
 0  0  2  0  0  8 10  2  6 14 10  4 14 14  4  6 14  4 10  2  0  8  0  6 10
 0  0  0  2  0 10 14 14  4  8  2  6 14 12 10  4 14 12  2  6  2  6 12  4  2
 0  0  0  0  8  0  0  8  8  8  8  8  0  8  0  0  0  0  8  0  8  0  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+256x^20+648x^21+1846x^22+2880x^23+7559x^24+6224x^25+7812x^26+3008x^27+1709x^28+488x^29+230x^30+64x^31+40x^32+3x^36

The gray image is a code over GF(2) with n=200, k=15 and d=80.
This code was found by Heurico 1.16 in 3.63 seconds.