The generator matrix

 1  0  1  1  6  1  1  1  6  1  1  4  1  1 10  1  1  1  8  4  1  1  6  1  2  1  1  1
 0  1  1  6  1 11 13  4  1  2 15  1  4  1  1  2  7 12  1  4  6  5  1  3 10  1  4  0
 0  0  2  0  8  4 12 10  6 10  6 10 14  6  2 14 12  0 14  2  6  6 14 14  6 10  4  0
 0  0  0  8  8  0  8  0  8  8  8  0  0  0  8  8  8  8  0  8  0  8  0  0  0  8  0  8

generates a code of length 28 over Z16 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+69x^24+282x^25+547x^26+734x^27+935x^28+712x^29+445x^30+212x^31+96x^32+38x^33+15x^34+6x^35+3x^36+1x^38

The gray image is a code over GF(2) with n=224, k=12 and d=96.
This code was found by Heurico 1.16 in 0.0807 seconds.