The generator matrix

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

generates a code of length 66 over Z2[X]/(X^3) who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+286x^57+515x^58+1022x^59+1120x^60+1978x^61+1865x^62+2630x^63+2360x^64+3286x^65+2609x^66+3326x^67+2509x^68+2888x^69+1813x^70+1702x^71+979x^72+934x^73+404x^74+252x^75+127x^76+94x^77+22x^78+28x^79+8x^80+6x^81+4x^82

The gray image is a linear code over GF(2) with n=264, k=15 and d=114.
This code was found by Heurico 1.16 in 70.1 seconds.