The generator matrix

 1  0  1  1  1  4  1  1 10  1  1  6  1  1 14  1  2  1  1  1  1 12  1  1  1 10 14  1  8 12  0  1  1  1  4  1  1  1  2  2  1
 0  1  1  0 11  1 10  5  1  6 11  1 11  8  1 10  1  7  2 13  0  1  7  4  5  1  1  3  0  1  2  7  0  7  1  6 12  3 12  0  0
 0  0  2  6  0  2  2  4  6  8  2  0  4  0  8  6  6 14  0 12 10 12 14  0 12 10  2 14  2  2  6  2  4 12  0 10 10 12 14  6  0
 0  0  0 12  0  4  8 12  0  4 12 12 12  8 12  8 12 12 12  0  4  0  8 12  8  4  0  8  8  0 12 12  0  4  0 12  0  0  4 12  0
 0  0  0  0 12  4 12  8  8 12  4  4 12  4  8  8  8  0  0  0  8  4  4  8  4  8  4  0  4  8 12  8  4  0  4 12  0  4  0 12  0
 0  0  0  0  0  8  0  0  8  0  0  0  8  8  8  8  0  8  8  8  8  0  0  0  8  8  8  8  0  0  0  0  0  8  8  0  8  8  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+36x^33+247x^34+516x^35+1215x^36+2280x^37+4628x^38+7352x^39+10798x^40+11304x^41+10856x^42+7616x^43+4610x^44+2088x^45+1182x^46+424x^47+201x^48+100x^49+41x^50+28x^51+7x^52+6x^54

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 26.9 seconds.