The generator matrix

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

generates a code of length 56 over Z16 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+49x^56+6x^58+2x^60+6x^62

The gray image is a code over GF(2) with n=448, k=6 and d=224.
This code was found by Heurico 1.16 in 0.0955 seconds.