The generator matrix

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

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+114x^66+256x^67+302x^68+228x^69+176x^70+196x^71+160x^72+152x^73+92x^74+84x^75+73x^76+52x^77+56x^78+28x^79+34x^80+16x^81+6x^82+12x^83+5x^84+1x^88+4x^90

The gray image is a linear code over GF(2) with n=284, k=11 and d=132.
This code was found by Heurico 1.11 in 0.203 seconds.