The generator matrix

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

generates a code of length 66 over Z2[X]/(X^3) who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+162x^58+88x^59+477x^60+280x^61+737x^62+552x^63+817x^64+616x^65+911x^66+616x^67+779x^68+552x^69+637x^70+280x^71+321x^72+88x^73+131x^74+74x^76+38x^78+25x^80+8x^82+2x^92

The gray image is a linear code over GF(2) with n=264, k=13 and d=116.
This code was found by Heurico 1.16 in 6.35 seconds.