The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+42x^33+152x^34+264x^35+542x^36+1110x^37+2235x^38+4556x^39+7601x^40+10254x^41+11653x^42+10746x^43+7716x^44+4462x^45+2203x^46+1002x^47+498x^48+240x^49+135x^50+70x^51+25x^52+20x^53+6x^54+2x^55+1x^60

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 29.6 seconds.