The generator matrix

 1  0  1  1  1 14  1  4  1 10  1  1  1  6  1  2  1  1  1  0  1  1  1  4  1  1  1  6  1 12  1  1  1  1 10  1  2  8 10  1  4  1  1  4  4  1  1  1  1  1  1  1
 0  1  1  6  3  1 13  1  4  1 10 15  1  1  2  1 12  5  0  1  3  6  7  1  9 12  2  1  9  1  7  7  0  8  1  1  1  1  1  3  1  1  7  8  8 14  6  2  0 13  9 12
 0  0  2  0  8  8  0 14  6 14  6 10  8 10  4  4 12  6  2  2 14  4 12  0 10  6 14  0  4 12  6  8 12 10  4 12 10  6  2  2  2  6 10  2  2 12  0  2 14  2 14 12
 0  0  0 12  0  4  4 12  4  8  8  4 12  8 12  4  0  0 12  4  0  4  8 12  4  8  4  0 12  4  4  4 12  0  0  8  4  0 12 12  8 12  8  0  4  0  8  4  8  0  4 12

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

Homogenous weight enumerator: w(x)=1x^0+98x^47+485x^48+750x^49+1251x^50+1124x^51+1020x^52+1106x^53+1131x^54+608x^55+357x^56+96x^57+66x^58+40x^59+14x^60+14x^61+20x^62+2x^63+3x^64+2x^65+3x^66+1x^70

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 0.737 seconds.