The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  1  2  2  1  2  2  1  2  1  1  1  2  2  4  2  4  4  2  4  4  4  4  2  4  4  4  4  4  4  4  1
 0  8  0  0  0  0  0  0  0  8  8  8  8  8  8  8  0  0  0  0  0  0  0  8  0  8  8  8  8  8  8  8  0  0  0  8  0  8  8  8  0  0  8  0  0  8  0  8  8  8  0  0
 0  0  8  0  0  0  8  8  8  8  8  0  8  8  0  0  0  0  0  0  8  8  8  8  8  8  0  8  0  8  0  0  0  8  0  8  8  8  0  0  0  8  8  8  0  8  8  0  8  0  8  0
 0  0  0  8  0  8  8  8  0  0  0  0  8  8  8  8  0  0  8  8  8  0  8  0  0  0  0  8  0  8  8  8  0  0  8  8  8  0  8  0  8  8  0  0  0  8  0  0  8  8  0  8
 0  0  0  0  8  8  0  8  8  0  8  8  8  0  0  8  0  8  8  0  0  8  8  0  0  8  8  8  0  0  0  8  8  8  8  8  8  8  8  8  0  0  0  0  8  8  8  0  0  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+34x^50+16x^51+168x^52+16x^53+8x^54+6x^56+2x^58+1x^64+4x^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 0.215 seconds.