The generator matrix

 1  0  0  0  1  1  1  1 X^2  1 X^2+X  X  1 X^2  1  1  X  1  1  0  1 X^2+X  1  1 X^2+X  X  0  X  0  1  1  1  1  X  0 X^2  1  1  0  1  X  1  0 X^2+X  1  1  1  X  1  1  0  1  1  1  1  1  1  0 X^2 X^2+X  0  1  X  X X^2+X  1
 0  1  0  0  0 X^2  1 X^2+1  1 X^2+X+1 X^2  1  0  1 X+1 X^2+1  1 X^2+X  0  X  1  1 X^2+1 X+1 X^2  1  1 X^2+X  X  X X+1 X^2+X  X  1  0  1 X+1  X  1  X  X  X X^2  1 X^2+1 X^2+X+1 X^2  0 X+1 X+1 X^2  0 X^2+X+1  0 X^2  1 X^2+X  1  1  X  1 X+1  1 X^2+X  1 X^2+X+1
 0  0  1  0  0 X^2+1  1 X^2+X X+1 X^2+1  1 X^2 X^2+X+1 X^2+1 X^2  0 X^2 X^2+1 X+1  1 X+1 X+1 X^2+X+1 X^2  1 X^2+1 X^2+X  1  0  X  0 X+1  0  X  1 X^2+X X+1 X^2+X X^2+1 X^2+X+1  1  X X^2  1 X^2+X  0 X^2+X+1 X^2 X^2+X  X X^2 X^2+X X+1  0 X^2+X  1 X^2+1 X^2+X X^2  1 X+1  X X^2+X  1 X^2+X  X
 0  0  0  1  1  1 X^2 X+1 X+1 X^2+1 X^2+1 X^2+1  X  X X^2 X^2+X+1  0 X^2+1  0  0 X^2+1  1 X^2 X^2+X X+1  X  1 X^2+X  1 X^2+X X^2+1 X+1 X+1 X^2  1 X+1  1  1  1  X X+1 X^2  1  0 X^2+X  X  X  1  1 X^2+X  1 X+1  0  0  0 X^2+1 X^2+1 X^2 X^2+X X^2 X+1  0  X  0 X^2+1 X^2+1
 0  0  0  0  X  0  0  0  0  X  X  X X^2+X  X  X X^2 X^2  0 X^2+X X^2 X^2 X^2+X  X X^2 X^2 X^2 X^2+X  X X^2 X^2+X X^2+X X^2+X X^2  X X^2+X X^2  X  0 X^2  0 X^2  0 X^2 X^2+X X^2+X  X  0 X^2+X X^2+X X^2  X  X  0 X^2  X X^2 X^2+X  X X^2+X X^2 X^2  0 X^2+X 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+244x^58+464x^59+749x^60+974x^61+1191x^62+1100x^63+1456x^64+1340x^65+1511x^66+1416x^67+1479x^68+1118x^69+1127x^70+696x^71+589x^72+378x^73+249x^74+152x^75+68x^76+28x^77+26x^78+12x^79+10x^80+2x^81+4x^82

The gray image is a linear code over GF(2) with n=264, k=14 and d=116.
This code was found by Heurico 1.13 in 3.91 seconds.