The generator matrix

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

generates a code of length 43 over Z16 who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+28x^33+72x^34+152x^35+164x^36+638x^37+621x^38+2792x^39+3996x^40+8644x^41+9497x^42+12388x^43+9516x^44+8504x^45+3986x^46+2980x^47+586x^48+576x^49+122x^50+116x^51+60x^52+42x^53+33x^54+4x^55+8x^56+5x^58+4x^60+1x^64

The gray image is a code over GF(2) with n=344, k=16 and d=132.
This code was found by Heurico 1.16 in 38 seconds.