The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+168x^48+472x^49+868x^50+1376x^51+1882x^52+2368x^53+2467x^54+2160x^55+1866x^56+1304x^57+685x^58+416x^59+160x^60+80x^61+61x^62+16x^63+17x^64+15x^66+2x^68

The gray image is a code over GF(2) with n=432, k=14 and d=192.
This code was found by Heurico 1.16 in 2.77 seconds.