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  1  X X^2+X  X X^2+X X^2+X  1  1 X^2+X  1  1  1  1 X^2+X  X  1 X^2  1  1  0  X  1  1 X^2  1 X^2+X  1  1  1  1  1  1  1  1  1 X^2  1  1  1  X  0
 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  0  1  1 X^2+X  1  0  1 X^2+X  X X^2  1 X^2+1 X^2+X  X  1  1 X^2+1  1 X+1 X^2  1  X X^2+X+1 X^2+1  X X^2+X+1  1 X^2+X X^2+X X+1 X^2+X+1 X^2  X  1  X  0  1 X^2+X  X X+1  1  X
 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 X+1 X^2+X+1 X+1  1  X  1  1 X^2+X+1 X^2+X  1 X+1 X^2+X  1  X X^2+X+1  X X^2+X  1 X^2+X+1 X^2+X+1 X+1  1 X^2+1  X  1 X+1 X^2+X X^2+X X+1 X^2+X X^2  X  0  0  X X^2+X X^2+X  0  0 X^2 X^2  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  0  0  0 X^2+X  0 X^2  X X^2 X^2+X X^2+X X^2+X  0 X^2+X  0 X^2+X X^2+X  0 X^2+X X^2+X X^2+X X^2 X^2 X^2  X  X X^2+X X^2+X X^2  0 X^2+X  0 X^2 X^2 X^2  X X^2 X^2+X X^2  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+140x^61+171x^62+276x^63+251x^64+252x^65+166x^66+212x^67+154x^68+124x^69+63x^70+60x^71+58x^72+20x^73+8x^74+24x^75+6x^76+20x^77+16x^78+20x^79+2x^80+4x^81

The gray image is a linear code over GF(2) with n=264, k=11 and d=122.
This code was found by Heurico 1.11 in 0.188 seconds.