The generator matrix

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

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+144x^33+464x^34+794x^35+1516x^36+1702x^37+2652x^38+3104x^39+3925x^40+3814x^41+4260x^42+3244x^43+2857x^44+1724x^45+1238x^46+618x^47+386x^48+166x^49+88x^50+46x^51+19x^52+2x^53+2x^54+2x^55

The gray image is a linear code over GF(2) with n=164, k=15 and d=66.
This code was found by Heurico 1.16 in 23 seconds.