The generator matrix

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

generates a code of length 71 over Z2[X]/(X^3) who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+85x^68+64x^69+124x^70+32x^71+105x^72+16x^73+40x^74+9x^76+16x^77+12x^78+5x^80+2x^84+1x^96

The gray image is a linear code over GF(2) with n=284, k=9 and d=136.
This code was found by Heurico 1.11 in 0.094 seconds.