The generator matrix

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

generates a code of length 69 over Z2[X]/(X^3) who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+140x^65+104x^66+232x^67+42x^68+188x^69+45x^70+60x^71+16x^72+54x^73+29x^74+56x^75+3x^76+16x^77+12x^78+20x^79+1x^80+2x^81+1x^82+1x^84+1x^86

The gray image is a linear code over GF(2) with n=276, k=10 and d=130.
This code was found by Heurico 1.11 in 0.125 seconds.