The generator matrix

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

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+62x^58+206x^59+376x^60+480x^61+580x^62+628x^63+765x^64+818x^65+707x^66+758x^67+652x^68+546x^69+511x^70+388x^71+238x^72+182x^73+134x^74+54x^75+40x^76+22x^77+14x^78+8x^79+8x^80+5x^82+6x^83+3x^86

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 3.59 seconds.