The generator matrix

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

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+20x^70+64x^71+110x^72+128x^73+104x^74+64x^75+16x^76+4x^78+1x^144

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 29.8 seconds.