The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+46x^46+178x^47+428x^48+846x^49+1248x^50+2118x^51+2948x^52+5102x^53+6377x^54+9126x^55+8658x^56+9310x^57+6344x^58+5070x^59+3116x^60+2084x^61+1028x^62+720x^63+359x^64+178x^65+120x^66+68x^67+40x^68+14x^69+5x^70+2x^72+2x^73

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 61.6 seconds.