The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+48x^33+104x^34+208x^35+420x^36+598x^37+1111x^38+1832x^39+2507x^40+2838x^41+2462x^42+1816x^43+1065x^44+618x^45+371x^46+168x^47+96x^48+50x^49+45x^50+8x^51+7x^52+8x^53+2x^54+1x^58

The gray image is a code over GF(2) with n=328, k=14 and d=132.
This code was found by Heurico 1.16 in 3.19 seconds.