The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  1  0  1  6  1  1  1  1 12  1  1  1  1  6
 0  1  3  6  5  1 12 15  1 10  9  1  0  6  3  1  5  1 12  6 15  5  1 10 10  9  9  1
 0  0  8  0  0  0  0  8  0  8  8  8  0  8  0  0  8  8  0  0  8  0  8  0  8  0  0  8
 0  0  0  8  0  0  8  8  0  8  0  8  0  8  8  8  0  0  8  8  0  0  0  0  8  0  8  0
 0  0  0  0  8  0  8  0  8  8  8  8  0  0  8  0  8  0  0  8  8  8  0  0  0  0  8  0
 0  0  0  0  0  8  0  8  8  8  0  8  8  0  0  8  8  0  0  8  0  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+132x^24+192x^25+608x^26+576x^27+1090x^28+576x^29+608x^30+192x^31+109x^32+6x^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 0.0805 seconds.