The generator matrix

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

generates a code of length 51 over Z16 who´s minimum homogenous weight is 47.

Homogenous weight enumerator: w(x)=1x^0+44x^47+504x^48+788x^49+582x^50+686x^51+541x^52+314x^53+261x^54+178x^55+60x^56+78x^57+28x^58+20x^59+5x^60+4x^61+1x^62+1x^64

The gray image is a code over GF(2) with n=408, k=12 and d=188.
This code was found by Heurico 1.16 in 0.156 seconds.