The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+206x^48+936x^49+1674x^50+3128x^51+3684x^52+4416x^53+4620x^54+5032x^55+3443x^56+2912x^57+1462x^58+688x^59+314x^60+120x^61+68x^62+48x^63+4x^64+8x^66+4x^68

The gray image is a code over GF(2) with n=432, k=15 and d=192.
This code was found by Heurico 1.16 in 9.42 seconds.