The generator matrix

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

generates a code of length 72 over Z2[X]/(X^3) who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+248x^70+123x^72+80x^74+56x^78+2x^80+1x^96+1x^104

The gray image is a linear code over GF(2) with n=288, k=9 and d=140.
This code was found by Heurico 1.16 in 17.4 seconds.