The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+100x^46+32x^47+371x^48+216x^49+857x^50+1480x^51+2238x^52+6264x^53+5156x^54+12552x^55+7128x^56+12456x^57+5291x^58+6168x^59+2177x^60+1512x^61+764x^62+248x^63+314x^64+32x^65+103x^66+48x^68+12x^70+10x^72+5x^74+1x^76

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 43.7 seconds.