The generator matrix

 1  0  1  1  6  1  1  1  6  1 12  1  1  8  1 12  1  1  2  1  1  1  1  8  1  1  1  2  8  1  4  1  1  1  0  1  1 10  1  6  1  1  1 12  1 12  2  1  1  1 14  4
 0  1  1  6  1  3  5  4  1  2  1  7 13  1  4  1 14 11  1 10  7  8 11  1  6  1 13  1  1  1  1  0  2  8  1 15 10  1  3  1  2  1 11  8  5  1  1  3  1 13  1  1
 0  0  2  0  0  8  8 10  6 10 14 10  2  4 12  2 12  2 10 14  4  2 12  4 10 14  4  4  2 12 12  6 12  4  6  6 10 10  2  0  8  0  8  2  0  4 12 12 12 10 14  2
 0  0  0  8  0  8  0  0  8  8  0  0  8  8  8  8  0  8  0  8  8  0  0  8  8  0  0  0  0  0  0  8  8  0  0  0  0  8  8  8  8  8  0  8  8  0  0  8  0  0  0  8
 0  0  0  0  8  0  8  0  0  8  8  8  0  0  8  8  8  8  0  0  8  8  0  8  0  0  8  0  8  0  8  8  0  0  0  0  0  8  0  8  8  0  8  0  8  0  8  0  8  8  0  0

generates a code of length 52 over Z16 who´s minimum homogenous weight is 47.

Homogenous weight enumerator: w(x)=1x^0+150x^47+296x^48+1060x^49+709x^50+1578x^51+901x^52+1498x^53+595x^54+852x^55+256x^56+160x^57+31x^58+46x^59+17x^60+14x^61+7x^62+14x^63+1x^64+4x^65+1x^66+1x^74

The gray image is a code over GF(2) with n=416, k=13 and d=188.
This code was found by Heurico 1.16 in 0.768 seconds.