The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  2  1  2  1  4  8  1  1  2  4  1  1  1  2  1  4  1  4  4  1
 0 12  0  4  0  0  4 12  0  8  4  4  0 12 12  8  8  0  8 12 12  4  0  4 12  4  4  4  0 12 12  4 12  4  4  0  4  0 12  0  8
 0  0 12  4  0 12  4  0  8  4  0  4  0  4  8  4  4 12  4  0  4  4 12 12  4  4 12  0  8  8  8  4  8 12  4  8  4  4  0 12 12
 0  0  0  8  0  0  0  0  8  8  8  8  8  0  8  0  8  8  0  0  0  0  8  0  8  0  0  8  0  8  0  8  8  0  8  8  8  8  8  0  8
 0  0  0  0  8  0  0  0  0  0  0  8  8  8  0  0  0  0  0  0  0  8  8  8  8  0  8  0  8  8  0  0  8  8  8  0  8  0  8  8  8
 0  0  0  0  0  8  0  0  0  8  0  0  8  8  8  8  8  0  0  8  8  8  8  0  0  0  0  0  0  8  0  8  8  8  0  8  8  8  0  8  0
 0  0  0  0  0  0  8  0  8  8  8  8  8  0  8  8  0  0  0  8  0  8  0  0  0  0  8  0  0  0  8  8  8  0  8  0  0  0  8  8  0
 0  0  0  0  0  0  0  8  0  0  8  0  0  0  0  8  0  0  8  8  8  8  8  8  8  8  0  0  8  0  8  0  0  8  8  0  0  8  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+42x^33+84x^34+128x^35+160x^36+376x^37+428x^38+888x^39+1389x^40+1228x^41+1393x^42+920x^43+429x^44+344x^45+116x^46+104x^47+55x^48+58x^49+18x^50+8x^51+10x^52+8x^54+3x^56+1x^58+1x^60

The gray image is a code over GF(2) with n=328, k=13 and d=132.
This code was found by Heurico 1.16 in 20.3 seconds.