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

generates a code of length 54 over Z16 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+174x^48+188x^49+595x^50+488x^51+1048x^52+888x^53+1622x^54+884x^55+1008x^56+412x^57+390x^58+160x^59+176x^60+48x^61+78x^62+4x^63+20x^64+3x^66+4x^68+1x^80

The gray image is a code over GF(2) with n=432, k=13 and d=192.
This code was found by Heurico 1.16 in 1.12 seconds.