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

generates a code of length 52 over Z16 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+209x^48+24x^49+164x^50+360x^51+550x^52+360x^53+152x^54+24x^55+188x^56+4x^58+10x^60+1x^64+1x^96

The gray image is a code over GF(2) with n=416, k=11 and d=192.
This code was found by Heurico 1.16 in 0.155 seconds.