The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+84x^48+438x^49+888x^50+1380x^51+2074x^52+2294x^53+2446x^54+2312x^55+1843x^56+1122x^57+760x^58+380x^59+153x^60+106x^61+56x^62+24x^63+12x^64+8x^65+1x^66+1x^68+1x^74

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 2.52 seconds.