The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+26x^33+7x^34+12x^35+7x^36+10x^37+1x^38

The gray image is a linear code over GF(2) with n=136, k=6 and d=66.
This code was found by Heurico 1.16 in 0.0137 seconds.