The generator matrix

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

generates a code of length 71 over Z2[X]/(X^3) who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+96x^65+97x^66+252x^67+194x^68+232x^69+146x^70+238x^71+131x^72+188x^73+69x^74+114x^75+58x^76+108x^77+34x^78+24x^79+22x^80+8x^81+4x^82+8x^83+8x^84+4x^85+2x^86+2x^87+4x^89+2x^91+2x^92

The gray image is a linear code over GF(2) with n=284, k=11 and d=130.
This code was found by Heurico 1.16 in 0.443 seconds.