The generator matrix

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

generates a code of length 66 over Z2[X]/(X^3) who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+192x^59+400x^60+502x^61+675x^62+684x^63+867x^64+654x^65+773x^66+562x^67+633x^68+552x^69+502x^70+392x^71+296x^72+198x^73+139x^74+82x^75+41x^76+14x^77+19x^78+8x^79+2x^80+2x^82+2x^86

The gray image is a linear code over GF(2) with n=264, k=13 and d=118.
This code was found by Heurico 1.16 in 2.93 seconds.