The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  0  2 12  1  2  0  1  2 12  2  1  1  2  1  1  1  1  2  2  8  4  2  8  2  4  1  1  1  1  2  2  2  2  2  1
 0  2 12  6  0  6 12 10  8 14  4 10  8 14  4  2  6  2 10  2  0  6  2 12 10  2  0  8 12 12  6 14 10 10 14  2  2  2 14  2  2  2  0  8  4  4  0 12  8  4  8  0
 0  0  8  8  8  0  0  8  8  8  0  0  0  0  8  8  0  8  8  0  0  8  0  8  0  8  8  8  0  8  0  8  0  8  8  0  8  0  0  0  8  8  8  0  8  0  0  0  8  0  0  0

generates a code of length 52 over Z16 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+4x^50+36x^51+182x^52+16x^53+2x^54+8x^55+1x^56+1x^58+4x^59+1x^66

The gray image is a code over GF(2) with n=416, k=8 and d=200.
This code was found by Heurico 1.16 in 0.0842 seconds.