The generator matrix

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

generates a code of length 56 over Z16 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+55x^50+134x^51+216x^52+304x^53+434x^54+600x^55+671x^56+612x^57+429x^58+266x^59+164x^60+98x^61+45x^62+20x^63+15x^64+8x^65+12x^66+4x^67+4x^68+2x^69+1x^70+1x^88

The gray image is a code over GF(2) with n=448, k=12 and d=200.
This code was found by Heurico 1.16 in 0.449 seconds.