The generator matrix

 1  0  0  1  1  1  X  1  1  0  0  X  1  1  1  0  1  1  1  0  X  1  1  1  1  0  0  X  0  1  1  1  X  1  0  X  0  1  0  1  0  1  1  X  1  X  X  1  1  1  1  0  X  X  1  1  1  X  1  1  1  1  0  1  1  1  1  0  1  0  1  1
 0  1  0  0  1  1  1  0  X  X  1  1  1 X+1  0  1  1  X  1  1  0  0  0  1 X+1  1  1  X  0 X+1 X+1  X  1  X  0  1  0  0  X  0  1  X X+1  1 X+1  1  1  1  X X+1  X  0  1  X X+1  X  X  1  X  X  0  X  1  0  0  X  X  X  1  1  X  0
 0  0  1  1  1  0  1  X X+1  1  0  1 X+1  X  0 X+1 X+1  1  X  0  1  0  1 X+1  X  X  1  1  1 X+1  0  X  0 X+1  1 X+1  1 X+1  1 X+1  X  X  1  0  0  X  X  1  1  X  X  1  0  X  1  0  0  X X+1  0  X  X  0  1  1  0  0  X  1  X  X  0
 0  0  0  X  0  0  0  0  0  0  0  0  X  X  X  X  0  0  0  X  0  X  X  X  X  X  X  0  X  X  0  0  0  X  X  X  X  0  X  0  X  X  0  X  X  0  0  0  X  X  X  0  0  X  X  X  X  X  0  0  0  0  0  0  X  0  X  0  0  X  X  0
 0  0  0  0  X  0  0  X  X  X  X  X  X  X  X  0  X  0  0  X  X  0  X  X  X  0  X  0  X  0  X  0  X  X  0  0  0  0  X  X  X  X  0  0  X  X  X  0  X  0  0  X  0  X  X  X  0  0  0  0  X  0  0  X  0  X  X  X  X  0  0  X
 0  0  0  0  0  X  0  0  0  X  X  X  X  X  X  X  X  0  0  X  0  X  0  0  0  0  0  X  X  X  X  X  0  X  0  0  X  X  0  X  0  0  0  X  0  X  0  X  X  X  0  0  0  X  0  X  0  X  X  X  X  0  X  0  X  0  0  0  X  X  X  X

generates a code of length 72 over Z2[X]/(X^2) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+33x^66+52x^67+51x^68+68x^69+39x^70+34x^71+43x^72+34x^73+32x^74+20x^75+17x^76+14x^77+7x^78+14x^79+12x^80+8x^81+7x^82+4x^83+4x^84+2x^85+5x^86+4x^87+2x^89+4x^90+1x^94

The gray image is a linear code over GF(2) with n=144, k=9 and d=66.
This code was found by Heurico 1.16 in 0.103 seconds.