The generator matrix

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

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+126x^60+308x^61+509x^62+324x^63+469x^64+344x^65+360x^66+316x^67+288x^68+172x^69+256x^70+196x^71+142x^72+88x^73+108x^74+28x^75+30x^76+16x^77+15x^78

The gray image is a linear code over GF(2) with n=264, k=12 and d=120.
This code was found by Heurico 1.11 in 0.313 seconds.