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

generates a code of length 66 over Z2[X]/(X^3) who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+98x^61+246x^62+206x^63+310x^64+228x^65+244x^66+144x^67+141x^68+96x^69+87x^70+52x^71+44x^72+28x^73+30x^74+24x^75+29x^76+14x^77+17x^78+6x^79+3x^80

The gray image is a linear code over GF(2) with n=264, k=11 and d=122.
This code was found by Heurico 1.16 in 0.289 seconds.