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  0  1  1 X^2  1  1 X^2  1  1  X  1  1  1  1  0 X^2+X  1  X  1  1  1  1  0  1  1  1  1  0  1 X^2+X X^2+X  1  1  1  1  1  1  X  1  X X^2  1  1  1  1  1  1  1  1  1  1 X^2  1  1
 0  1  0  1 X^2 X^2+1  1  1 X^2+X X^2+1  0 X^2  1  1  0  X  X X+1  1 X^2+X X^2+X+1  1  X X+1  1  0  1  X X+1  1  1 X^2+X  1 X^2+X+1  X  0  X X^2 X+1 X^2  1 X^2  1 X^2+1  1 X^2 X+1 X^2+X  X X^2+X  0  0 X^2 X^2+X+1  X X^2+X X^2+1 X^2+X+1 X^2+X+1 X^2+X  1 X^2+1 X^2+X+1 X^2+X X^2 X^2+X  1 X+1  1
 0  0  1 X^2  1 X^2+1 X^2+1 X^2+X  1 X+1  X X^2+X+1  X X+1  1  1  0 X^2+X X+1  X X^2  1  1 X+1  0 X^2+X+1 X^2+1 X+1  1 X^2+X X^2 X+1  X  1 X^2+1 X^2+1  X  1  0 X^2+X X^2+X+1 X^2 X^2  X  X  1 X^2+X+1  0 X^2+X X^2 X^2 X^2+X  X X+1  1  1 X^2 X^2+X X^2+X+1  1  1  0  0 X^2+X+1 X^2+1 X^2+1 X^2  X  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+44x^66+142x^67+70x^68+82x^69+37x^70+66x^71+12x^72+18x^73+21x^74+8x^75+4x^77+5x^80+1x^82+1x^94

The gray image is a linear code over GF(2) with n=276, k=9 and d=132.
This code was found by Heurico 1.11 in 0.094 seconds.