The generator matrix

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

generates a code of length 69 over Z2[X]/(X^3) who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+178x^64+132x^65+288x^66+164x^67+275x^68+208x^69+248x^70+172x^71+145x^72+56x^73+16x^74+16x^75+19x^76+4x^77+44x^78+16x^79+40x^80+12x^82+14x^84

The gray image is a linear code over GF(2) with n=276, k=11 and d=128.
This code was found by Heurico 1.16 in 0.343 seconds.