The generator matrix

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

generates a code of length 71 over Z2[X]/(X^3) who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+134x^67+119x^68+170x^69+121x^70+156x^71+62x^72+70x^73+25x^74+54x^75+20x^76+18x^77+23x^78+8x^79+5x^80+10x^81+3x^82+16x^83+1x^84+4x^85+4x^86

The gray image is a linear code over GF(2) with n=284, k=10 and d=134.
This code was found by Heurico 1.11 in 0.516 seconds.