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  1  1  1  1  1  1  1  1  1  2  2  4  2  2  4  2  2  0  1  2  2  1  2  1  4  4  1  0  4  4
 0 12  0  0  0  0  0  0  0 12  4 12 12  8  8  0 12 12  4 12 12  0  4  4  8  8  8  4  4  8  0  4  0  4 12 12  0  4  0  4  4 12  0 12  8 12  8 12  4  0  4 12  8 12 12
 0  0 12  0  0  0  4 12  4  4  4  8  0  8 12  8  0  0  8  4 12 12 12  4  0  0  8  8  0  8  4 12 12  0 12 12  0  0  8 12 12  8  0  8 12  4 12  8  8 12  0  0  0  0 12
 0  0  0 12  0  4  4  4  8  4  0 12  4  8  8  0  4  8  8  0  4  8  8  8 12  0  4  8 12  4  4  4 12  4  8  4  4 12  0  4  8 12  4  0  4  4  0  8 12 12  0 12  4 12  0
 0  0  0  0 12  4  0  4  4  8  0  8 12  0  8 12  8  8  4  0  4  4 12  4  4  8  4 12  8  8  0 12  4  4 12  8 12  0  4 12  8  8  8  4  4  4 12 12  4 12  4 12  8  4  4
 0  0  0  0  0  8  0  0  8  0  8  8  8  8  8  8  0  8  8  8  0  0  8  0  0  0  0  0  8  8  8  8  8  0  8  0  0  8  0  8  0  0  0  8  8  8  8  0  8  0  0  8  0  8  0
 0  0  0  0  0  0  8  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  0  8  8  0  8  0  0  8  8  8  0  8  8  8  0  0  0  8  8  0  0  8  8  8  0  0  0  0  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+166x^46+16x^47+445x^48+108x^49+716x^50+512x^51+1354x^52+1140x^53+2444x^54+2536x^55+2512x^56+1236x^57+1402x^58+496x^59+604x^60+76x^61+320x^62+24x^63+178x^64+66x^66+24x^68+6x^70+2x^76

The gray image is a code over GF(2) with n=440, k=14 and d=184.
This code was found by Heurico 1.16 in 6.16 seconds.