The generator matrix

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

generates a code of length 41 over Z16 who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+130x^33+433x^34+924x^35+1454x^36+2762x^37+4376x^38+7840x^39+8938x^40+11442x^41+9415x^42+8020x^43+4312x^44+2710x^45+1355x^46+776x^47+351x^48+172x^49+64x^50+40x^51+14x^52+5x^54+2x^56

The gray image is a code over GF(2) with n=328, k=16 and d=132.
This code was found by Heurico 1.16 in 38.4 seconds.