The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+51x^24+334x^25+436x^26+1096x^27+327x^28+1066x^29+410x^30+300x^31+32x^32+6x^33+16x^34+12x^35+5x^36+2x^37+2x^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 0.0844 seconds.