The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  1  1  8  1  2  4  2  2  1  1  1  1
 0  2  0  6  4 14 12  2  0  6 12 10  8  2  2 12 14  6  2  2 14  2  2  6  8  4 10  6
 0  0 12  0  4  4  8  4  0  8  0  0  4  8  4  4  4 12 12  4 12 12 12  0  4 12  8  0
 0  0  0  8  0  0  8  0  0  8  8  0  0  0  0  0  8  8  0  8  0  8  8  8  8  8  8  0
 0  0  0  0  8  0  0  8  8  8  8  8  8  8  0  0  8  0  0  0  8  8  0  0  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+77x^24+96x^25+248x^26+416x^27+398x^28+416x^29+224x^30+96x^31+54x^32+8x^34+13x^36+1x^44

The gray image is a code over GF(2) with n=224, k=11 and d=96.
This code was found by Heurico 1.16 in 0.0444 seconds.