The generator matrix

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

generates a code of length 53 over Z16 who´s minimum homogenous weight is 47.

Homogenous weight enumerator: w(x)=1x^0+80x^47+509x^48+744x^49+1660x^50+1680x^51+2699x^52+2132x^53+2574x^54+1448x^55+1436x^56+608x^57+448x^58+144x^59+92x^60+68x^61+38x^62+8x^63+14x^64+1x^68

The gray image is a code over GF(2) with n=424, k=14 and d=188.
This code was found by Heurico 1.16 in 2.47 seconds.