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

generates a code of length 55 over Z16 who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+123x^46+474x^47+612x^48+1424x^49+1957x^50+3516x^51+4397x^52+7172x^53+8342x^54+9494x^55+8014x^56+7440x^57+4818x^58+3612x^59+1680x^60+1196x^61+597x^62+358x^63+141x^64+104x^65+33x^66+16x^67+3x^68+8x^69+1x^70+2x^71+1x^86

The gray image is a code over GF(2) with n=440, k=16 and d=184.
This code was found by Heurico 1.16 in 56.1 seconds.