The generator matrix

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

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+90x^62+188x^63+151x^64+136x^65+114x^66+64x^67+67x^68+52x^69+30x^70+28x^71+29x^72+32x^73+10x^74+8x^75+15x^76+4x^77+4x^78+1x^88

The gray image is a linear code over GF(2) with n=264, k=10 and d=124.
This code was found by Heurico 1.11 in 0.109 seconds.