The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+133x^48+496x^49+660x^50+1280x^51+1064x^52+1244x^53+998x^54+1060x^55+550x^56+416x^57+116x^58+80x^59+36x^60+20x^61+14x^62+12x^63+6x^64+4x^66+2x^72

The gray image is a code over GF(2) with n=424, k=13 and d=192.
This code was found by Heurico 1.16 in 0.769 seconds.