The generator matrix

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

generates a code of length 33 over Z2[X]/(X^3) who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+122x^26+16x^27+282x^28+96x^29+467x^30+240x^31+684x^32+320x^33+661x^34+240x^35+477x^36+96x^37+247x^38+16x^39+79x^40+37x^42+13x^44+2x^46

The gray image is a linear code over GF(2) with n=132, k=12 and d=52.
This code was found by Heurico 1.16 in 0.481 seconds.