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

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

Homogenous weight enumerator: w(x)=1x^0+352x^48+1352x^52+332x^56+8x^60+2x^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 0.632 seconds.