The generator matrix

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

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+144x^65+161x^66+160x^67+70x^68+128x^69+61x^70+90x^71+22x^72+62x^73+31x^74+22x^75+14x^76+16x^77+17x^78+12x^79+5x^80+2x^81+2x^83+2x^86+2x^87

The gray image is a linear code over GF(2) with n=276, k=10 and d=130.
This code was found by Heurico 1.16 in 74.5 seconds.