The generator matrix

 1  0  1  1  1 X^2  1  1  X  1  1  X  1  1  0  1  1  0  1  1  X  1  1  X  1  1  X  1 X^2  1  1  1  0 X^2+X  1  1  1  1  1  1  X  0  1  1 X^2  1 X^2+X  X  1  0  0  X  1  1  1  1  1  1  X  1  1  1  X  1  1 X^2+X  X X^2  X  1 X^2+X
 0  1  1  0 X+1  1 X^2+X+1  0  1 X^2  1  1  0 X+1  1 X^2 X+1  1  0  1  1  0  1  1 X^2+X X^2+X+1  1 X^2+X  1  1 X+1 X^2+1  1  1  X X^2+X X^2+X+1 X^2+1  X  X  1  1  X X^2+X+1  1 X^2+X  1 X^2 X^2+1  X  0 X^2 X^2  0  X X^2+X  X X^2+X X^2  X  0 X^2  0 X^2  0  1 X^2+X  X X^2 X^2+X  1
 0  0  X  0  0  0  0  X  X  X  X  X X^2 X^2 X^2 X^2 X^2 X^2 X^2+X X^2+X X^2+X X^2+X X^2+X X^2+X  X  X  0  0 X^2+X X^2  X  0  X  0  0 X^2+X X^2+X X^2  X X^2 X^2 X^2+X X^2 X^2+X  X X^2+X X^2 X^2+X  0 X^2  X X^2+X X^2+X X^2+X X^2 X^2  0 X^2  X X^2  X  X X^2 X^2 X^2  X X^2 X^2+X  X  0  X
 0  0  0  X X^2 X^2+X X^2+X  X X^2 X^2 X^2+X  X X^2  0 X^2 X^2+X  X  X  0  X X^2+X X^2+X X^2  0  X  0  X  0 X^2  X X^2+X  0  X X^2 X^2+X  0 X^2+X  0  0 X^2+X X^2  X  0  0 X^2  X  X X^2  X  X X^2  X X^2+X  X  X  0  0 X^2+X X^2+X X^2 X^2  0  X X^2  0  X  X  X X^2 X^2 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+164x^67+90x^68+248x^69+56x^70+128x^71+57x^72+48x^73+104x^75+35x^76+44x^77+8x^78+8x^79+5x^80+8x^81+4x^83+2x^84+4x^85+8x^87+1x^88+1x^92

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 47.5 seconds.