The generator matrix

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

generates a code of length 69 over Z2[X]/(X^3) who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+84x^63+222x^64+148x^65+120x^66+196x^67+235x^68+188x^69+96x^70+172x^71+214x^72+156x^73+40x^74+60x^75+69x^76+20x^77+18x^80+7x^84+1x^92+1x^96

The gray image is a linear code over GF(2) with n=276, k=11 and d=126.
This code was found by Heurico 1.16 in 0.988 seconds.