The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+380x^50+260x^52+380x^54+2x^68+1x^72

The gray image is a code over GF(2) with n=416, k=10 and d=200.
This code was found by Heurico 1.16 in 0.591 seconds.