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

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

Homogenous weight enumerator: w(x)=1x^0+100x^47+334x^48+590x^49+898x^50+1274x^51+1649x^52+2164x^53+2450x^54+2266x^55+1765x^56+1092x^57+726x^58+504x^59+264x^60+142x^61+78x^62+46x^63+16x^64+10x^65+8x^66+2x^67+2x^68+2x^69+1x^76

The gray image is a code over GF(2) with n=432, k=14 and d=188.
This code was found by Heurico 1.16 in 3.89 seconds.