The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+106x^47+412x^48+940x^49+1818x^50+3022x^51+5288x^52+6946x^53+9301x^54+9762x^55+9742x^56+7022x^57+5069x^58+2922x^59+1592x^60+802x^61+465x^62+172x^63+73x^64+30x^65+17x^66+16x^67+12x^68+4x^69+2x^70

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.