The generator matrix

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

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+13x^66+30x^67+70x^68+78x^69+55x^70+62x^71+37x^72+30x^73+23x^74+16x^75+14x^76+12x^77+9x^78+12x^79+9x^80+4x^81+8x^82+4x^83+12x^84+2x^85+2x^87+1x^88+4x^90+2x^91+2x^97

The gray image is a linear code over GF(2) with n=144, k=9 and d=66.
This code was found by Heurico 1.10 in 0.015 seconds.