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

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+88x^69+30x^70+128x^71+62x^72+112x^73+32x^74+56x^77+1x^80+1x^94+1x^110

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 0.442 seconds.