The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+96x^43+243x^44+152x^45+440x^46+160x^47+516x^48+144x^49+184x^50+64x^51+21x^52+24x^53+1x^56+2x^64

The gray image is a code over GF(2) with n=376, k=11 and d=172.
This code was found by Heurico 1.16 in 0.0758 seconds.