The generator matrix

 1  0  0  1  1  1  0  0  1  1 X^2  1  1  0  1  1 X^2  1  0  1  0  1  1 X^2  1  0  1  0  X  X X^2+X X^2  1  1  1  1  1  1 X^2+X  X  1 X^2 X^2+X  1  1  X  1  1  X  X X^2  1  1  1  1  1  1  X X^2+X  1 X^2  1  1  1  1  1  1  X  1
 0  1  0  0  1  1  1  0 X^2 X^2+1  1  0  1  1 X^2 X^2+1  1  X  1 X+1  X X^2 X^2+1  1 X^2+X  1 X^2+X+1 X^2+X  1  1  0  1  0  1  X X+1 X^2+1 X^2+X+1  1  1  X  1 X^2+X X+1 X^2+1  0 X^2  1  1  1  1 X^2+X X^2+1 X^2+1 X^2+X+1 X^2+X+1 X^2+X  1  1  0 X^2  X X+1 X^2+X+1 X^2+X  X  1 X^2 X^2+X+1
 0  0  1  1 X^2 X^2+1  1  1  0 X^2  0  1 X^2+1  1 X^2  0 X^2  1 X^2+X+1 X^2+1  1 X^2  0 X^2  1 X+1 X^2+1  1  X X+1  1  X X+1 X^2+X+1  X X^2+X  X X+1 X^2+X  1 X+1 X^2+X  1 X^2+X X+1  1 X^2+X X^2+X+1 X^2 X^2  1 X^2+1 X^2+X  X X^2 X^2 X^2 X^2+X X^2+1 X^2+X+1  1  X X^2 X^2+X+1 X+1  1  X  1  X
 0  0  0  X  0  X  X X^2+X  X  X  X X^2 X^2 X^2 X^2 X^2 X^2  0 X^2  0 X^2+X X^2+X X^2+X X^2+X X^2+X X^2+X X^2+X  0  0  X  0 X^2+X X^2+X X^2+X X^2+X X^2+X X^2  0  X  0  X X^2  0 X^2  0 X^2+X X^2  X  X  0  0  X  0  X X^2  X  0 X^2  X X^2 X^2  0 X^2+X X^2 X^2+X X^2 X^2+X X^2 X^2+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+151x^64+192x^65+263x^66+222x^67+239x^68+198x^69+225x^70+130x^71+100x^72+82x^73+70x^74+16x^75+34x^76+22x^77+33x^78+30x^79+17x^80+2x^81+17x^82+2x^83+1x^84+1x^88

The gray image is a linear code over GF(2) with n=276, k=11 and d=128.
This code was found by Heurico 1.11 in 0.188 seconds.