The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  8  1  1 14  1  1  1  1  4  2  1  1  1  1
 0  1  3  6  5  1 12 15  1 10  9  1  8 11  1 14 13  1  4  2  7  1  1  1  0  6 12 10

generates a code of length 28 over Z16 who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+32x^27+188x^28+32x^29+1x^32+2x^40

The gray image is a code over GF(2) with n=224, k=8 and d=108.
This code was found by Heurico 1.16 in 0.00373 seconds.