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  8  0  0  0  0  0  8  0  0  0  8  8  0  8  8  0  0  0  0  8  8  0  0  8  8  8  8
 0  0  8  0  0  0  0  8  0  0  8  8  0  8  8  0  0  8  0  8  8  0  0  8  8  8  0  0
 0  0  0  8  0  0  0  8  0  8  8  0  0  8  0  8  0  0  0  0  8  8  8  8  0  8  8  0
 0  0  0  0  8  0  0  8  0  8  0  0  8  8  8  0  8  0  8  0  8  0  8  0  0  0  8  8
 0  0  0  0  0  8  0  8  8  0  0  0  8  8  0  8  8  0  0  8  0  8  0  8  8  8  0  0
 0  0  0  0  0  0  8  8  8  0  8  0  0  0  8  8  0  8  8  0  8  0  8  0  8  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+63x^24+896x^28+63x^32+1x^56

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 1 seconds.