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

generates a code of length 52 over Z16 who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+36x^49+92x^50+60x^51+646x^52+60x^53+92x^54+36x^55+1x^104

The gray image is a code over GF(2) with n=416, k=10 and d=196.
This code was found by Heurico 1.16 in 0.0729 seconds.