The generator matrix

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

generates a code of length 42 over Z16 who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+52x^33+170x^34+238x^35+523x^36+1114x^37+2331x^38+4224x^39+7602x^40+10778x^41+11428x^42+10750x^43+7792x^44+4214x^45+2315x^46+1106x^47+409x^48+218x^49+130x^50+60x^51+51x^52+8x^53+9x^54+6x^55+4x^56+2x^60+1x^62

The gray image is a code over GF(2) with n=336, k=16 and d=132.
This code was found by Heurico 1.16 in 36.2 seconds.