The generator matrix

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

generates a code of length 67 over Z2[X]/(X^3) who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+16x^65+44x^66+128x^67+45x^68+16x^69+2x^70+1x^80+2x^82+1x^84

The gray image is a linear code over GF(2) with n=268, k=8 and d=130.
This code was found by Heurico 1.16 in 0.131 seconds.