The generator matrix

 1  0  0  1  1  1  6  6  1  1 10  1  1  1  8  1 12  1  1  2  1 12 14  6  6  1  1  1
 0  1  0  0  5 13  1  0  8  8  1 15  6  3  1  2  1  7  5  1 12  6  1 10  1 11  4  1
 0  0  1  3  3  4  3  1 14 13  6  3 11  6  1  2  6  1 10  2  5  1  9  1 15 15  4 10
 0  0  0  8  0  0  0  0  0  8  0  8  0  8  8  8  8  0  0  8  8  8  0  8  8  0  0  0
 0  0  0  0  8  0  8  8  8  0  0  8  0  0  8  0  8  0  0  8  8  0  0  0  8  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+362x^24+1048x^25+2274x^26+2820x^27+3552x^28+2776x^29+2060x^30+1008x^31+429x^32+16x^33+18x^34+12x^35+4x^36+4x^40

The gray image is a code over GF(2) with n=224, k=14 and d=96.
This code was found by Heurico 1.16 in 3.1 seconds.