The generator matrix

 1  0  0  0  0  1  1  1 X^2  1 X^2+X X^2  1  0  1  1  1  1  0 X^2+X X^2+X  1  1  1  1  0  1  1  1  X  0  1  1  1 X^2  X X^2+X X^2  1  1  1
 0  1  0  0  0  0  0 X^2 X^2 X^2  0  0  1  1 X+1  X X^2+X+1 X^2+1  1  1  X X^2+X+1  X X^2+X X^2+1  1 X+1  X X^2+1  1  1 X^2+X X^2  0  X  1  1  X  1  0  0
 0  0  1  0  0 X^2  1 X^2+1  1  X  X  1  1  1 X^2 X+1 X^2+X+1  0  X X^2+1  1  1  1 X^2+X X^2 X+1 X^2+X+1  0  X X+1  0 X^2+1 X+1 X+1  1 X^2 X^2+X+1 X^2 X^2+X+1 X^2+X  0
 0  0  0  1  0 X^2+1  1  0 X^2+1  X  1  X X^2+X X^2+X+1 X+1 X^2+1 X^2+X X^2+1  X X^2+X  1 X^2+1  X X^2+X+1  X  X  1 X^2+X+1 X^2 X+1 X^2+X+1  1 X^2  X X^2  0 X^2  1  X X^2+X+1  0
 0  0  0  0  1  1 X^2 X^2+1 X^2+1  1  1 X+1 X^2+X X^2 X^2+X X^2+X+1 X^2+X+1 X+1 X+1 X^2+X+1 X^2 X^2+X+1 X^2+X  0 X^2+1  0  X X^2+1 X^2 X^2+X X+1 X^2+X+1 X+1  0 X^2 X+1 X^2+X  X X^2+X  X X^2

generates a code of length 41 over Z2[X]/(X^3) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+96x^33+449x^34+888x^35+1363x^36+1922x^37+2702x^38+3088x^39+3880x^40+3802x^41+4049x^42+3300x^43+2725x^44+1874x^45+1262x^46+714x^47+395x^48+158x^49+48x^50+24x^51+18x^52+4x^53+2x^54+2x^55+2x^56

The gray image is a linear code over GF(2) with n=164, k=15 and d=66.
This code was found by Heurico 1.13 in 7.45 seconds.