The generator matrix

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

generates a code of length 71 over Z2[X]/(X^3) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+153x^66+212x^67+318x^68+156x^69+270x^70+160x^71+190x^72+76x^73+151x^74+60x^75+93x^76+44x^77+48x^78+48x^79+21x^80+12x^81+18x^82+15x^84+2x^88

The gray image is a linear code over GF(2) with n=284, k=11 and d=132.
This code was found by Heurico 1.16 in 0.35 seconds.