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

generates a code of length 52 over Z16 who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+32x^51+188x^52+32x^53+1x^64+2x^72

The gray image is a code over GF(2) with n=416, k=8 and d=204.
This code was found by Heurico 1.16 in 0.047 seconds.