The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+87x^24+256x^25+424x^26+896x^27+796x^28+896x^29+400x^30+256x^31+61x^32+8x^34+12x^36+3x^40

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 0.0939 seconds.