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

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+54x^65+136x^66+86x^67+69x^68+32x^69+48x^70+30x^71+12x^72+10x^73+14x^74+4x^75+6x^76+4x^77+4x^79+1x^82+1x^86

The gray image is a linear code over GF(2) with n=272, k=9 and d=130.
This code was found by Heurico 1.11 in 0.062 seconds.