The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  8  1  1 14  1  1  4  1  1  2  1  1  1  1  0  1  1  1  1  1 12  1  2  1  1  1  1  1  1  2  8  4  2  2  2  2  2  2
 0  1  3  6  5  1 12 15  1 10  9  1  8 11  1 14 13  1  4  7  1  2  1  1  0  3  6  5  1 12 10 15  8 11  1 13  6 14  4  2  9  1  7  0  1  1  8 14 12  4 10  2

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

Homogenous weight enumerator: w(x)=1x^0+248x^52+4x^56+3x^64

The gray image is a code over GF(2) with n=416, k=8 and d=208.
This code was found by Heurico 1.16 in 1.89 seconds.