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

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

Homogenous weight enumerator: w(x)=1x^0+54x^49+112x^50+214x^51+284x^52+192x^53+112x^54+40x^55+2x^56+10x^57+2x^59+1x^96

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 0.141 seconds.