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  4  1  1  1  1  2
 0 12  0 12  0 12  8  4  0 12  0 12  0  4  8 12  4  8  8 12 12  4  8  0  0  0 12 12
 0  0  8  0  0  0  8  0  0  0  8  8  0  8  8  0  8  8  0  8  8  8  0  0  8  0  0  0
 0  0  0  8  0  0  0  8  0  0  8  8  8  8  0  0  8  0  0  0  8  0  0  8  8  8  8  0
 0  0  0  0  8  0  8  0  0  8  0  8  8  0  8  8  0  0  8  8  8  8  0  0  8  8  8  0
 0  0  0  0  0  8  0  8  8  8  0  0  8  8  8  0  0  8  8  0  8  8  0  8  0  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+45x^24+120x^26+659x^28+128x^29+16x^30+30x^32+24x^34+1x^52

The gray image is a code over GF(2) with n=224, k=10 and d=96.
This code was found by Heurico 1.16 in 0.0206 seconds.