The generator matrix

 1  0  0  1  1  1  X  1 X^2+X  1  1  X  1 X^2+X  1  X X^2  1  1  X  1  1  0  0  1  1  1  X  0  1 X^2  1  1  1  1 X^2+X  X  1  1  0  0  X  1  0  1  1  1  1 X^2+X X^2+X  1  X  1  1  1  1  1  1  1  1  1  1  0 X^2  1  1
 0  1  0  0  1 X^2+X+1  1 X^2  0 X^2 X^2+X+1  1 X+1  1  1 X^2+X  1  X  X  1  X X^2+1  X  1 X+1  1 X^2  1  1  1 X^2  1 X^2+X X^2+X+1 X^2  1  1 X^2 X^2+X+1  1  1 X^2+X X^2+X  1  0  0 X+1  0  X  1  1  1 X^2+1  X X^2+X X^2+X X^2  1 X+1  X  0 X^2  X X^2+X X^2+1  0
 0  0  1  1 X+1  0  1 X+1  1  X X+1  X  X X+1 X^2+1  1  X X^2+X  0 X^2 X+1 X^2+X  1 X+1  0  1  1  1 X^2+X  0  1 X^2+X+1  1  0 X^2 X^2+X+1 X^2+X X+1  X X^2+X+1 X^2+X  1 X^2 X^2+X+1 X^2+1 X+1  0 X+1  1 X^2  1 X+1 X^2+X+1  1  1  1  0  X X^2+1  1  X X^2+X+1  1  1 X+1 X^2
 0  0  0  X  X X^2+X X^2 X^2+X  0  0  X X^2  X  0 X^2+X  0  0 X^2 X^2 X^2 X^2+X  X  0 X^2 X^2+X  0  0 X^2+X X^2+X X^2 X^2+X  0 X^2 X^2 X^2+X X^2+X  X  X  0  0 X^2+X X^2+X  X  X X^2 X^2+X X^2+X  0 X^2+X X^2+X  X X^2+X  0 X^2+X X^2+X  X X^2 X^2  0  0  X X^2+X X^2 X^2  0 X^2
 0  0  0  0 X^2  0  0 X^2 X^2 X^2  0 X^2 X^2  0  0 X^2  0  0 X^2 X^2  0  0  0 X^2 X^2 X^2  0 X^2 X^2 X^2  0  0  0  0 X^2  0 X^2 X^2 X^2 X^2  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2  0  0  0 X^2  0 X^2 X^2  0  0 X^2  0  0
 0  0  0  0  0 X^2 X^2  0  0  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2  0  0  0 X^2 X^2 X^2  0 X^2  0 X^2 X^2 X^2  0 X^2  0  0 X^2 X^2  0  0  0 X^2 X^2  0  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+46x^58+198x^59+330x^60+570x^61+528x^62+798x^63+657x^64+854x^65+631x^66+828x^67+526x^68+610x^69+464x^70+404x^71+232x^72+218x^73+110x^74+98x^75+36x^76+12x^77+12x^78+6x^79+10x^80+8x^81+1x^82+4x^83

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 3.64 seconds.