The generator matrix

 1  0  0  1  1  1  0 X^2 X^2  1  1  1  1 X^2+X  1  X  1  X  1 X^2+X  1  1  X  1  X X^2  1  1  1  1  1  1  1 X^2  1  0  X  1  1  1  0 X^2  X  1  1 X^2+X  1 X^2 X^2+X  1  1  1  0  1  1  1 X^2+X  1  0 X^2+X  1  1 X^2+X  1  1  1  1  X  1
 0  1  0  0 X^2+1 X^2+1  1  X  1 X^2  1 X^2+X X^2+X+1  1 X+1 X^2 X+1  X X^2+1  1 X^2+X  X  1  X  1  1 X^2  1 X+1 X^2+1 X^2+X+1 X^2+1  1  X X+1  1 X^2+X X^2  X X^2+X  1  0  1 X^2  0  1  1  0  0  1 X^2+X X^2+1  1  X X+1 X+1  1 X+1  1  1 X^2+X+1  0  X X^2+X+1  1 X^2+X+1 X^2  1 X^2+X
 0  0  1 X+1 X^2+X+1 X^2 X^2+X+1  1  X  X X^2+X  1 X^2+1 X^2+1 X+1  1  0  1 X^2+1 X^2+1  1  X  X X^2 X^2 X+1 X^2+X+1  X X^2 X^2+X  X X^2  1  1 X^2+X+1 X^2  1 X^2+1 X^2 X+1  1  1 X+1  1 X^2 X+1  0  1  1 X+1 X^2+1  0  X X+1 X+1 X^2 X^2+X X^2+X  1 X^2+X  0 X^2  1 X^2+X  X X^2  1 X+1  X
 0  0  0 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0  0  0 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0  0  0  0 X^2  0  0 X^2  0  0 X^2 X^2 X^2  0 X^2 X^2  0  0  0 X^2  0 X^2 X^2 X^2  0  0  0  0  0  0 X^2  0  0 X^2 X^2 X^2 X^2 X^2 X^2  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+112x^65+152x^66+208x^67+45x^68+128x^69+101x^70+92x^71+8x^72+32x^73+65x^74+24x^75+8x^76+24x^77+12x^79+8x^81+1x^82+1x^84+1x^86+1x^88

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 0.19 seconds.