The generator matrix

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

generates a code of length 66 over Z2[X]/(X^3) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+52x^60+4x^61+132x^62+44x^63+147x^64+80x^65+144x^66+80x^67+136x^68+44x^69+78x^70+4x^71+51x^72+12x^74+7x^76+2x^78+5x^80+1x^116

The gray image is a linear code over GF(2) with n=264, k=10 and d=120.
This code was found by Heurico 1.16 in 0.239 seconds.