The generator matrix

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

generates a code of length 28 over Z16 who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+72x^25+419x^26+400x^27+385x^28+336x^29+287x^30+80x^31+37x^32+8x^33+21x^34+1x^36+1x^38

The gray image is a code over GF(2) with n=224, k=11 and d=100.
This code was found by Heurico 1.16 in 0.032 seconds.