The generator matrix

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

generates a code of length 54 over Z16 who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+36x^46+152x^47+344x^48+536x^49+870x^50+1258x^51+1696x^52+2092x^53+2350x^54+2404x^55+1710x^56+1098x^57+820x^58+418x^59+248x^60+164x^61+69x^62+56x^63+29x^64+10x^65+13x^66+4x^68+4x^69+1x^70+1x^74

The gray image is a code over GF(2) with n=432, k=14 and d=184.
This code was found by Heurico 1.16 in 4.09 seconds.