The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+120x^50+112x^51+108x^52+64x^53+52x^54+16x^55+30x^56+4x^58+4x^60+1x^64

The gray image is a code over GF(2) with n=416, k=9 and d=200.
This code was found by Heurico 1.16 in 0.106 seconds.