The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  2  0  1  1  1  1  4  1  4  1  4  1
 0  2  0  2  8  0  6 14  0  8  6  2  0 10  2  6  4 12  6 12  8 14  2 10  8  4  2  4
 0  0  2  2  0 14  6  8  4 10  2  8  4 14  6 12  2  2  0  6 14 14 14 14  2  2  0  6
 0  0  0  4  4  4  0  4 12  4  8  4  0  4 12  8  0 12 12  4  8 12 12  8  4  8  4  0

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

Homogenous weight enumerator: w(x)=1x^0+166x^24+264x^25+442x^26+804x^27+752x^28+900x^29+390x^30+172x^31+123x^32+36x^33+38x^34+5x^36+2x^38+1x^44

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 0.147 seconds.