The generator matrix

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

generates a code of length 54 over Z16 who´s minimum homogenous weight is 47.

Homogenous weight enumerator: w(x)=1x^0+328x^47+1476x^48+3668x^49+6524x^50+10222x^51+14957x^52+18380x^53+20037x^54+18358x^55+15462x^56+10182x^57+6036x^58+3306x^59+1331x^60+504x^61+197x^62+58x^63+19x^64+18x^65+6x^66+2x^68

The gray image is a code over GF(2) with n=432, k=17 and d=188.
This code was found by Heurico 1.16 in 117 seconds.