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

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

Homogenous weight enumerator: w(x)=1x^0+18x^24+56x^25+33x^26+168x^27+476x^28+168x^29+27x^30+56x^31+17x^32+3x^34+1x^54

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 0.0176 seconds.