The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1  1  2  1  4  2
 0 12  0  4  0  8 12 12  0  8  4 12  0  0 12 12  8  4 12  8  0  8  8  0 12  4  4 12
 0  0 12  4  0  4  4  8  0  4  4  0  0 12  4  8  8 12 12  4 12 12  0  8  8  0 12  0
 0  0  0  8  0  0  8  0  8  8  0  8  8  8  0  8  8  8  0  0  0  0  8  8  0  0  0  0
 0  0  0  0  8  8  8  8  8  8  0  8  0  0  8  0  8  0  0  0  8  0  0  8  8  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+42x^24+8x^25+89x^26+184x^27+405x^28+184x^29+58x^30+8x^31+22x^32+13x^34+9x^36+1x^48

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 0.0202 seconds.