The generator matrix

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

generates a code of length 72 over Z2[X]/(X^3) who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+106x^69+45x^70+94x^71+47x^72+100x^73+18x^74+64x^75+12x^76+18x^77+1x^78+1x^80+2x^87+2x^92+1x^96

The gray image is a linear code over GF(2) with n=288, k=9 and d=138.
This code was found by Heurico 1.16 in 2.04 seconds.