The generator matrix

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

generates a code of length 67 over Z2[X]/(X^3) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+12x^66+90x^67+14x^68+1x^70+4x^71+1x^72+2x^74+2x^75+1x^78

The gray image is a linear code over GF(2) with n=268, k=7 and d=132.
This code was found by Heurico 1.16 in 0.128 seconds.