The generator matrix

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

generates a code of length 57 over Z16 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+434x^50+1842x^51+3739x^52+7144x^53+9822x^54+15024x^55+17416x^56+20028x^57+17576x^58+15402x^59+10158x^60+6836x^61+3218x^62+1566x^63+513x^64+224x^65+82x^66+20x^67+11x^68+4x^69+4x^70+2x^71+2x^72+4x^73

The gray image is a code over GF(2) with n=456, k=17 and d=200.
This code was found by Heurico 1.16 in 132 seconds.