The generator matrix

 1  0  0  0  1  1  1  X  1  1 X^2+X  X  1  1  X X^2  1  1 X^2+X  0  1  1  1 X^2+X X^2+X X^2  1  1  1  X  1  X  1 X^2+X X^2+X  1 X^2  X X^2+X  X X^2+X
 0  1  0  0  X  1 X^2+X+1  1 X^2 X+1  1 X^2 X^2+X+1 X^2+X  1  1  0  0 X^2+X X^2+X  1 X^2 X^2+1 X^2+X  1  1  X X^2+1  0  X  X  X X+1  1  1 X^2+X  1  1  1  1  0
 0  0  1  0  0  0  0 X^2  1  1 X+1  1  1 X^2+X+1 X^2+X X+1  1  X  1  0 X^2+X X+1 X^2+X+1  1 X^2+X+1 X+1 X^2+1 X+1  X  X  0  1 X+1 X^2+X  X  0 X^2 X^2+X  1 X+1  1
 0  0  0  1  1 X^2+X+1 X^2+X X^2+1 X^2+X+1 X^2+1  0 X^2+1  0  X X^2  1  X  1  X  1 X^2  1 X+1 X^2+X+1 X+1  0 X^2 X^2+1  0  1 X+1  X  X  1 X^2+X  X  X X^2+X+1 X^2+X+1 X^2+X X+1
 0  0  0  0 X^2  0  0  0  0  0  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2  0 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2 X^2 X^2  0 X^2 X^2
 0  0  0  0  0 X^2  0  0  0  0  0 X^2 X^2 X^2 X^2  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0  0  0 X^2  0  0  0 X^2  0 X^2 X^2  0 X^2  0 X^2
 0  0  0  0  0  0 X^2 X^2  0 X^2 X^2 X^2  0 X^2  0 X^2  0 X^2 X^2 X^2  0  0 X^2  0  0  0 X^2  0 X^2  0 X^2 X^2  0 X^2 X^2  0 X^2 X^2 X^2 X^2 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+144x^33+469x^34+778x^35+1356x^36+1928x^37+2749x^38+2986x^39+4125x^40+3682x^41+4027x^42+3074x^43+2995x^44+1878x^45+1267x^46+678x^47+346x^48+174x^49+60x^50+36x^51+5x^52+2x^53+4x^54+4x^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 1.16 in 22.7 seconds.