The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+128x^33+491x^34+830x^35+1602x^36+2642x^37+4690x^38+6970x^39+9384x^40+11580x^41+9978x^42+7082x^43+4618x^44+2644x^45+1554x^46+710x^47+383x^48+156x^49+51x^50+24x^51+12x^52+2x^53+3x^54+1x^70

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 49.3 seconds.