The generator matrix

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

generates a code of length 68 over Z2[X]/(X^3) who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+112x^65+61x^66+112x^67+23x^68+80x^69+23x^70+48x^71+3x^72+14x^73+10x^74+16x^75+5x^76+1x^82+1x^86+2x^89

The gray image is a linear code over GF(2) with n=272, k=9 and d=130.
This code was found by Heurico 1.16 in 5.31 seconds.