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

generates a code of length 56 over Z16 who´s minimum homogenous weight is 47.

Homogenous weight enumerator: w(x)=1x^0+102x^47+417x^48+816x^49+1330x^50+2114x^51+3272x^52+4708x^53+6813x^54+8140x^55+9624x^56+8848x^57+6974x^58+4718x^59+3160x^60+1864x^61+1179x^62+750x^63+392x^64+152x^65+80x^66+28x^67+29x^68+12x^69+6x^70+4x^71+2x^74+1x^76

The gray image is a code over GF(2) with n=448, k=16 and d=188.
This code was found by Heurico 1.16 in 56 seconds.