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

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

Homogenous weight enumerator: w(x)=1x^0+70x^48+294x^49+467x^50+850x^51+763x^52+1194x^53+1104x^54+1336x^55+704x^56+576x^57+287x^58+218x^59+127x^60+106x^61+42x^62+28x^63+14x^64+6x^65+4x^66+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 0.924 seconds.