The generator matrix

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

generates a code of length 69 over Z2[X]/(X^3) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+76x^66+60x^67+157x^68+36x^69+84x^70+16x^71+22x^72+12x^73+16x^74+25x^76+4x^79+2x^84+1x^88

The gray image is a linear code over GF(2) with n=276, k=9 and d=132.
This code was found by Heurico 1.16 in 0.107 seconds.