The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+189x^46+48x^47+653x^48+428x^49+1726x^50+2624x^51+4648x^52+7548x^53+9130x^54+11448x^55+9306x^56+7692x^57+4710x^58+2448x^59+1579x^60+452x^61+539x^62+72x^63+174x^64+8x^65+76x^66+20x^68+14x^70+2x^72+1x^76

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 88.1 seconds.