The generator matrix

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

generates a code of length 66 over Z2[X]/(X^3) who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+69x^62+222x^63+151x^64+130x^65+104x^66+98x^67+41x^68+28x^69+23x^70+54x^71+21x^72+26x^73+25x^74+18x^75+9x^76+2x^78+1x^80+1x^82

The gray image is a linear code over GF(2) with n=264, k=10 and d=124.
This code was found by Heurico 1.16 in 0.166 seconds.