The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  8  0  1  2  0  2  1  1  2  1  1  2  2  1  1  8  1  4  1
 0  2  0  6  0  6  8  6  6 14  0  4 14  2  2 14  6  2 10  2  2 14 14  4  0 14 14  4  8  8  0  4
 0  0 12  0  0  0 12  0  4 12  0  4  8 12  0  8  4  4  8 12  8  0  4  0 12  0 12  8  8  8 12  8
 0  0  0 12  0  0  0  4  4 12  4  4 12 12  8  0 12  0 12  8  8  8  0 12 12 12  0 12  4 12  8  0
 0  0  0  0 12  0  4  4  8 12 12 12  0 12  8 12  8 12  4  4  4 12  8  0  4  8  0  4  4  0  0  4
 0  0  0  0  0  8  0  0  0  0  0  0  8  8  8  0  8  8  8  0  8  0  8  8  8  8  0  8  0  8  8  0

generates a code of length 32 over Z16 who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+66x^25+183x^26+310x^27+584x^28+980x^29+1969x^30+2766x^31+2740x^32+2736x^33+1974x^34+946x^35+552x^36+300x^37+150x^38+74x^39+26x^40+14x^41+11x^42+1x^46+1x^48

The gray image is a code over GF(2) with n=256, k=14 and d=100.
This code was found by Heurico 1.16 in 2.38 seconds.