The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+120x^28+7x^32

The gray image is a code over GF(2) with n=224, k=7 and d=112.
This code was found by Heurico 1.16 in 0.00801 seconds.