The generator matrix

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

generates a code of length 33 over Z2[X]/(X^3) who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+1x^34+12x^35+1x^36+1x^38

The gray image is a linear code over GF(2) with n=132, k=4 and d=68.
This code was found by Heurico 1.16 in 0.00864 seconds.