The generator matrix

 1  0  0  1  1  1  0  1  1 X^2  1  X  1  0  1 X^2+X  1  1 X^2+X  1 X^2+X  1  1  0  1  0  X  X  1  1  X  1  1 X^2+X  1 X^2+X  1  0 X^2  1  1  1 X^2 X^2+X  1  1  1  1  1  X X^2+X  1  1  1 X^2  1  0  X  X  X  1  1  0  0 X^2+X  1
 0  1  0  0  1  1  1 X^2  1  1 X^2+1  1 X^2+X X^2+X X+1  1 X^2+X+1 X^2+X  X X^2+X  1  X  1 X^2 X^2+X+1  1  1  1 X^2 X^2 X^2+X X^2+X+1 X^2+1  1 X^2  0 X^2+1  1  1 X^2+X X^2+X+1 X+1  1  1 X^2+X X+1 X^2+X X^2+1  0  1  1  0 X^2  X  1 X+1 X^2  1  1  1  1 X^2+1  X  1  1 X^2+X
 0  0  1 X+1 X^2+X+1  0 X+1  X  1 X^2+1  X X^2+X X+1  1  X  0  1 X^2  1 X^2+1 X^2+X+1 X^2+X  X  1 X^2+X+1 X^2+X X^2+1 X^2+1 X^2+X+1  1  1  0 X+1 X^2 X^2  1  0  0 X^2+X+1 X^2+X X^2+X+1  X X+1 X+1 X^2+1 X^2+X X+1 X^2+1 X^2+X X^2+X+1 X^2+X  X X^2 X+1 X+1 X^2  1  X X^2+1 X^2+1 X^2+1  X  1  0  0 X^2+X
 0  0  0 X^2  0  0  0 X^2 X^2 X^2  0  0  0 X^2 X^2 X^2 X^2 X^2  0  0 X^2  0  0 X^2 X^2 X^2  0  0  0 X^2 X^2  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2  0  0  0  0  0 X^2
 0  0  0  0 X^2  0 X^2  0 X^2 X^2 X^2 X^2  0  0 X^2 X^2  0 X^2 X^2 X^2  0 X^2  0 X^2 X^2  0 X^2  0  0  0  0 X^2  0  0 X^2 X^2  0 X^2 X^2  0  0 X^2  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0
 0  0  0  0  0 X^2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2  0 X^2 X^2  0 X^2 X^2  0 X^2  0 X^2 X^2  0 X^2  0  0 X^2  0  0  0 X^2 X^2 X^2  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+193x^60+272x^61+340x^62+440x^63+421x^64+432x^65+354x^66+328x^67+260x^68+272x^69+194x^70+152x^71+174x^72+96x^73+54x^74+40x^75+27x^76+16x^77+18x^78+12x^80

The gray image is a linear code over GF(2) with n=264, k=12 and d=120.
This code was found by Heurico 1.16 in 1.05 seconds.