The generator matrix

 1  0  1  1  1  4  1 10  1  1  6  1  1  4  2  1  1  1 10  1  1  1  0 14  1  1  0  1  1 12  1  1 12  0  1  2  2  4  2  1  1
 0  1  1  0 11  1 10  1  5  6  1  7 15  1  1  8  6 15  1 12 13 14  0  1  1  2  1  3  1  1  5 13  1  1  0 10  8  0  1  0  6
 0  0  2  6  4  6 10 10  0  0  8  2  2 10  2  0 12 12  4 14  4  0  2  8  8  6  6  6  2  0  8  6 10  8 12 14  2  2  0  4 12
 0  0  0 12  0  4 12  4  0  0  0  8  4  0  8  4 12  4 12  8  0  4  0 12 12 12  0  0 12  8  8 12  4  8  4  4  8 12 12 12  4
 0  0  0  0  8  0  0  0  8  0  0  0  0  0  0  0  0  8  8  8  8  8  0  0  8  0  8  8  8  0  8  8  8  8  8  0  8  8  0  0  0
 0  0  0  0  0  8  0  8  0  0  0  0  0  8  8  0  0  0  8  8  8  8  8  8  8  8  8  0  8  8  8  0  8  0  0  0  0  8  0  8  0
 0  0  0  0  0  0  8  8  8  8  8  8  0  0  8  0  8  0  8  0  0  0  8  0  0  8  0  8  0  0  8  0  8  0  8  0  0  8  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+58x^33+225x^34+482x^35+1220x^36+2502x^37+4136x^38+8150x^39+9627x^40+12468x^41+10117x^42+8094x^43+4028x^44+2560x^45+1090x^46+410x^47+219x^48+74x^49+41x^50+16x^51+8x^52+2x^53+6x^54+1x^56+1x^58

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 26.3 seconds.