The generator matrix

 1  0  1  1  1 14  1  1  2  1  1  6  1  1 12  1  8  1  1  1  1  1  1  1  1  1  1  1
 0  1 11  6  5  1  8  7  1  4  3  1 10  9  1 14  1 13  1  7  3  5  5  0 14  2  5  0
 0  0 12  0  8  4  4  4 12 12  8  0  0  8  0  4  4  4 12 12  8  0 12  8  4 12  0  4
 0  0  0  8  8  8  0  8  0  8  0  8  0  0  8  0  8  0  0  8  8  0  8  8  8  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+162x^25+268x^26+420x^27+356x^28+412x^29+268x^30+152x^31+1x^32+2x^33+4x^35+1x^36+1x^44

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 1.89 seconds.