The generator matrix

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

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+142x^61+202x^62+328x^63+163x^64+296x^65+144x^66+144x^67+79x^68+160x^69+81x^70+124x^71+55x^72+48x^73+31x^74+8x^75+5x^76+26x^77+5x^78+4x^79+1x^80+1x^82

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 0.293 seconds.