The generator matrix

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

generates a code of length 55 over Z16 who´s minimum homogenous weight is 47.

Homogenous weight enumerator: w(x)=1x^0+146x^47+418x^48+1076x^49+1673x^50+3238x^51+4828x^52+7596x^53+8657x^54+10222x^55+8849x^56+7616x^57+4821x^58+3290x^59+1498x^60+878x^61+382x^62+188x^63+82x^64+32x^65+16x^66+16x^67+4x^68+2x^69+3x^70+4x^71

The gray image is a code over GF(2) with n=440, k=16 and d=188.
This code was found by Heurico 1.16 in 39.1 seconds.