The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+386x^24+64x^25+672x^26+448x^27+1040x^28+448x^29+576x^30+64x^31+343x^32+32x^34+16x^36+6x^40

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 37.1 seconds.