The generator matrix

 1  0  1  1  1 14  1  1 12  1  1  2  1  1  0  1  1 14  1  1 12  1  1 14  1  1  1  1  1  1  1  1  1  1  8  1  1  1 12 10 10  1  0  1  1  1  1  1  1  1  1  8
 0  1 11  6  5  1 11 12  1  9  2  1  7  0  1 14  5  1 12  7  1 14  5  1  8  4  6  6 12  0 14 14  2  3  1  7 13  5  1  1  1 11  1 12  0  8 14 10 10  4 15  1
 0  0 12  0  0  0  0  8  8  8  8  8  8  4  4  4  4 12 12  4 12 12 12  4  0  4  0  4  8 12 12  8  0  0  0  4 12  8 12 12  0  8  8  8 12  8  0  4 12  4  0  0
 0  0  0 12  8  4  4  8  8  0  4 12 12  4  4  0 12  0 12  8 12  8  4  8  4  0  0 12  4  0  4  8 12  0 12 12  0  4  0 12  8  8  4 12  8  0  8  4  0  4  8  4

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

Homogenous weight enumerator: w(x)=1x^0+347x^48+192x^49+804x^50+320x^51+798x^52+320x^53+792x^54+192x^55+308x^56+4x^58+8x^60+8x^64+2x^76

The gray image is a code over GF(2) with n=416, k=12 and d=192.
This code was found by Heurico 1.16 in 15.1 seconds.