The generator matrix

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

generates a code of length 33 over Z2[X]/(X^3) who�s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+76x^27+161x^28+252x^29+384x^30+454x^31+492x^32+512x^33+527x^34+446x^35+298x^36+222x^37+134x^38+58x^39+37x^40+20x^41+11x^42+6x^43+3x^44+2x^45

The gray image is a linear code over GF(2) with n=132, k=12 and d=54.
This code was found by Heurico 1.16 in 0.366 seconds.