The generator matrix

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

generates a code of length 81 over Z2[X]/(X^2) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+55x^72+84x^73+119x^74+156x^75+143x^76+162x^77+156x^78+114x^79+114x^80+114x^81+80x^82+96x^83+93x^84+88x^85+66x^86+78x^87+72x^88+24x^89+27x^90+50x^91+40x^92+30x^93+30x^94+16x^95+22x^96+10x^97+2x^98+2x^99+4x^100

The gray image is a linear code over GF(2) with n=162, k=11 and d=72.
This code was found by Heurico 1.10 in 0.266 seconds.