The generator matrix

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

generates a code of length 54 over Z16 who´s minimum homogenous weight is 47.

Homogenous weight enumerator: w(x)=1x^0+42x^47+103x^48+278x^49+438x^50+652x^51+639x^52+1678x^53+752x^54+1532x^55+658x^56+646x^57+345x^58+184x^59+85x^60+52x^61+26x^62+34x^63+16x^64+16x^65+7x^66+4x^67+1x^68+2x^69+1x^84

The gray image is a code over GF(2) with n=432, k=13 and d=188.
This code was found by Heurico 1.16 in 1.21 seconds.