The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  0  4  8  0  0  8  2 12  1  8  1  1  1  1  1  2 12  1  2  1 12  2  1  1
 0  2  0  2  0  0  2  6  4 10  4  6 14  4 12  6  6 10  4  2  2  2  8  2  0  2 10  2  8 10  8  8  2  6  2  8 14  4  8  4  6  8
 0  0  2  2  0  6  2  4  0  2  2  0 10  4 10  4 12 10  2  0 12  2  2  4 10  6  2  8 14  8 14 10 14  6  0 10  2  0  2 14  6  0
 0  0  0  4  0  0  0  0  0  0  0  8  8  8  0  0 12  4  4 12  4 12 12  4  4  4  8  0 12 12  8 12  4  8  0  4  8  8  0 12  0  0
 0  0  0  0 12  0  0  0  0  0 12 12  4 12 12  4  8  0  4  4  8  4 12  4  0 12 12  8  4 12  8  8  0  0  4  8  8  0 12  0  8  0
 0  0  0  0  0 12  8 12  4 12 12  4  8 12  8  0  0  8 12  4  4 12  0  8 12  8  4  0  0  0  0  8  8 12  4 12  8 12 12 12  0 12

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

Homogenous weight enumerator: w(x)=1x^0+42x^33+198x^34+464x^35+880x^36+1672x^37+2815x^38+4510x^39+7033x^40+9630x^41+10708x^42+9718x^43+7515x^44+4720x^45+2641x^46+1546x^47+676x^48+358x^49+234x^50+82x^51+53x^52+24x^53+11x^54+2x^56+2x^57+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 41.1 seconds.