The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  1  1  2  4  1  1  0  4  1  1  2  0  1  1  1  1  1  2
 0 12  0 12  0 12  0 12  8  4  0 12  0  8 12  4  0  0  0  8  0 12 12 12  4 12 12 12  4  4 12 12  4 12  4 12  4  8 12  4 12
 0  0  8  0  0  0  0  0  8  0  0  0  8  8  8  8  0  0  8  8  8  0  8  0  0  0  8  8  8  8  0  0  8  0  8  0  0  0  8  0  0
 0  0  0  8  0  0  0  0  0  8  0  8  8  8  8  0  0  8  8  8  0  0  0  8  0  0  0  8  0  8  8  0  8  8  8  0  8  8  8  0  8
 0  0  0  0  8  0  0  0  0  0  8  0  8  8  0  0  0  8  8  0  0  0  8  8  8  8  0  8  8  8  0  8  8  0  8  8  8  0  8  8  0
 0  0  0  0  0  8  0  0  0  0  0  8  0  0  8  8  8  8  8  8  8  0  8  0  8  8  0  8  0  0  8  8  0  8  0  0  8  8  8  0  0
 0  0  0  0  0  0  8  0  8  0  8  8  8  0  0  8  8  8  8  0  8  8  0  8  0  0  0  0  0  0  0  8  8  0  8  0  0  8  8  0  0
 0  0  0  0  0  0  0  8  0  8  8  8  0  8  0  8  0  0  8  8  8  8  8  8  0  8  0  8  8  0  8  0  8  0  0  0  0  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+4x^33+31x^34+56x^35+92x^36+128x^37+151x^38+712x^39+262x^40+1272x^41+240x^42+712x^43+134x^44+128x^45+72x^46+56x^47+12x^48+4x^49+9x^50+6x^52+9x^54+4x^56+1x^64

The gray image is a code over GF(2) with n=328, k=12 and d=132.
This code was found by Heurico 1.16 in 17.7 seconds.