The generator matrix

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

generates a code of length 47 over Z16 who´s minimum homogenous weight is 43.

Homogenous weight enumerator: w(x)=1x^0+214x^43+386x^44+654x^45+508x^46+628x^47+562x^48+576x^49+288x^50+206x^51+38x^52+14x^53+4x^54+8x^55+1x^56+4x^57+3x^60+1x^68

The gray image is a code over GF(2) with n=376, k=12 and d=172.
This code was found by Heurico 1.16 in 16.1 seconds.