The generator matrix

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

generates a code of length 71 over Z2[X]/(X^3) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+145x^66+230x^67+290x^68+208x^69+197x^70+192x^71+198x^72+90x^73+150x^74+54x^75+80x^76+56x^77+48x^78+36x^79+13x^80+28x^81+17x^82+10x^84+3x^86+2x^89

The gray image is a linear code over GF(2) with n=284, k=11 and d=132.
This code was found by Heurico 1.16 in 0.352 seconds.