The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+100x^24+548x^25+1132x^26+1474x^27+1990x^28+1264x^29+944x^30+476x^31+159x^32+60x^33+20x^34+18x^35+6x^36

The gray image is a code over GF(2) with n=224, k=13 and d=96.
This code was found by Heurico 1.16 in 0.25 seconds.