The generator matrix

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

generates a code of length 47 over Z16 who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+86x^39+297x^40+730x^41+1589x^42+2498x^43+4936x^44+7362x^45+9909x^46+10316x^47+10453x^48+7538x^49+4833x^50+2514x^51+1416x^52+530x^53+267x^54+132x^55+73x^56+28x^57+10x^58+4x^59+4x^60+4x^61+2x^63+4x^64

The gray image is a code over GF(2) with n=376, k=16 and d=156.
This code was found by Heurico 1.16 in 33.5 seconds.