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

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

Homogenous weight enumerator: w(x)=1x^0+90x^47+489x^48+764x^49+1275x^50+2070x^51+3058x^52+5128x^53+6048x^54+9190x^55+8865x^56+9672x^57+6414x^58+5140x^59+2900x^60+1938x^61+1121x^62+616x^63+400x^64+160x^65+110x^66+42x^67+30x^68+2x^69+7x^70+4x^71+1x^72+1x^74

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 57.9 seconds.