The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0 12  0 12  0 12  8  4  0 12  0 12  0 12  8  4  0 12  8  4  8  4  8  4  0  8 12  0
 0  0  8  0  0  0  8  0  0  8  8  8  0  8  8  8  8  0  8  8  0  8  0  0  8  8  0  0
 0  0  0  8  0  0  0  8  8  8  8  8  8  0  8  0  8  8  0  0  8  8  0  0  0  8  0  0
 0  0  0  0  8  8  8  8  8  0  0  8  0  8  8  0  8  8  0  8  8  8  0  8  8  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+3x^24+16x^25+8x^26+16x^27+424x^28+16x^29+8x^30+16x^31+3x^32+1x^56

The gray image is a code over GF(2) with n=224, k=9 and d=96.
This code was found by Heurico 1.16 in 0.0119 seconds.