The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  2  1  1  2  2  1  2  2  1  4  4  0  8  4  4  2  2
 0 12  8  4  0 12  8  4  0 12 12  4  8  4  0  8  0 12  4  8 12  4  4  4  8  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+50x^28+12x^30+1x^32

The gray image is a code over GF(2) with n=224, k=6 and d=112.
This code was found by Heurico 1.16 in 0.00923 seconds.