The generator matrix

 1  0  0  1  1  1 10  6  1  1 12  2  1  1  1  1  1  8  1  0  1 14  2  4  1  6  4  1
 0  1  0  8  5 13  1  1 14 12  1  4 15 11  1  4  2  1  9  1 10  6  1 10 11  1  4  8
 0  0  1 11  3  8 15  6 12  5 11  1  8  1  9 14  5 13 10  6  3  1  4  1 15  5  1 12

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

Homogenous weight enumerator: w(x)=1x^0+156x^25+910x^26+644x^27+1004x^28+380x^29+640x^30+204x^31+115x^32+24x^33+18x^34

The gray image is a code over GF(2) with n=224, k=12 and d=100.
This code was found by Heurico 1.16 in 0.062 seconds.