The generator matrix

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

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+228x^62+218x^64+246x^66+132x^68+100x^70+63x^72+26x^74+4x^78+4x^82+1x^88+1x^96

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 0.84 seconds.