The generator matrix

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

generates a code of length 47 over Z16 who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+106x^41+419x^42+604x^43+1459x^44+1712x^45+2979x^46+2166x^47+2763x^48+1628x^49+1400x^50+538x^51+356x^52+124x^53+60x^54+18x^55+28x^56+10x^57+5x^58+2x^59+1x^60+4x^61+1x^62

The gray image is a code over GF(2) with n=376, k=14 and d=164.
This code was found by Heurico 1.16 in 2.75 seconds.