The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+64x^50+194x^51+337x^52+968x^53+679x^54+1402x^55+960x^56+1470x^57+658x^58+876x^59+278x^60+176x^61+60x^62+18x^63+17x^64+6x^65+9x^66+6x^67+5x^68+4x^69+1x^70+2x^72+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 0.822 seconds.