The generator matrix

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

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+166x^67+74x^68+200x^69+78x^70+144x^71+46x^72+128x^73+30x^74+62x^75+5x^76+24x^77+2x^78+20x^79+16x^80+16x^81+2x^82+8x^83+1x^84+1x^88

The gray image is a linear code over GF(2) with n=284, k=10 and d=134.
This code was found by Heurico 1.16 in 0.219 seconds.