The generator matrix

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

generates a code of length 73 over Z2[X]/(X^3) who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+35x^70+226x^71+48x^72+10x^74+126x^75+12x^76+16x^78+30x^79+3x^80+2x^82+2x^83+1x^134

The gray image is a linear code over GF(2) with n=292, k=9 and d=140.
This code was found by Heurico 1.16 in 0.53 seconds.