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

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

Homogenous weight enumerator: w(x)=1x^0+182x^46+20x^47+569x^48+220x^49+1256x^50+1004x^51+2916x^52+2684x^53+5368x^54+4412x^55+5431x^56+2708x^57+2794x^58+1012x^59+1215x^60+212x^61+428x^62+16x^63+212x^64+78x^66+20x^68+6x^70+3x^72+1x^76

The gray image is a code over GF(2) with n=440, k=15 and d=184.
This code was found by Heurico 1.16 in 18.2 seconds.