The generator matrix

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

generates a code of length 39 over Z2[X]/(X^3) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+70x^33+97x^34+118x^35+182x^36+162x^37+247x^38+330x^39+251x^40+154x^41+147x^42+122x^43+73x^44+62x^45+9x^46+6x^47+4x^48+12x^50+1x^68

The gray image is a linear code over GF(2) with n=156, k=11 and d=66.
This code was found by Heurico 1.16 in 0.935 seconds.