The generator matrix

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

generates a code of length 47 over Z16 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+35x^40+78x^41+376x^42+616x^43+1199x^44+2158x^45+2272x^46+3032x^47+2236x^48+2184x^49+1164x^50+544x^51+291x^52+48x^53+75x^54+24x^55+12x^56+10x^57+15x^58+8x^59+2x^60+2x^61+1x^62+1x^66

The gray image is a code over GF(2) with n=376, k=14 and d=160.
This code was found by Heurico 1.16 in 2.4 seconds.