The generator matrix

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

generates a code of length 52 over Z16 who´s minimum homogenous weight is 47.

Homogenous weight enumerator: w(x)=1x^0+112x^47+210x^48+392x^49+336x^50+732x^51+755x^52+658x^53+324x^54+198x^55+80x^56+154x^57+60x^58+44x^59+24x^60+10x^61+2x^63+1x^64+2x^65+1x^84

The gray image is a code over GF(2) with n=416, k=12 and d=188.
This code was found by Heurico 1.16 in 0.377 seconds.