The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+112x^50+314x^51+511x^52+686x^53+836x^54+1196x^55+1129x^56+1128x^57+837x^58+592x^59+337x^60+180x^61+146x^62+80x^63+38x^64+36x^65+12x^66+10x^67+8x^68+2x^69+1x^82

The gray image is a code over GF(2) with n=448, k=13 and d=200.
This code was found by Heurico 1.16 in 1.05 seconds.