The generator matrix

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

generates a code of length 56 over Z16 who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+61x^46+76x^47+292x^48+430x^49+854x^50+1406x^51+2980x^52+4472x^53+7497x^54+9068x^55+11316x^56+8896x^57+7820x^58+4452x^59+2826x^60+1452x^61+818x^62+324x^63+221x^64+98x^65+92x^66+30x^67+26x^68+12x^69+7x^70+4x^71+2x^72+2x^74+1x^78

The gray image is a code over GF(2) with n=448, k=16 and d=184.
This code was found by Heurico 1.16 in 43.3 seconds.