The generator matrix

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

generates a code of length 53 over Z16 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+51x^48+226x^49+458x^50+506x^51+628x^52+490x^53+531x^54+492x^55+420x^56+160x^57+75x^58+42x^59+4x^60+2x^61+2x^62+2x^65+3x^66+2x^70+1x^78

The gray image is a code over GF(2) with n=424, k=12 and d=192.
This code was found by Heurico 1.16 in 0.235 seconds.