The generator matrix

 1  0  0  0  0  1  1  1  1  0  X  1  X  1  1  X  1  X  0  1  X  0  0  1  1  X  1  X  1  1  1  1  X  1  1  X  X  X  1  1  1  X  X  0  X  1  0  1  1  1  1  X  1  0  1  1  1  0  1  X  0  0  X  X  X  1  X  0  0  X  1  1  1  0  1  X  1  0  1  1  1
 0  1  0  0  0  0  0  0  X  0  0  X  X  0  X  0 X+1  1  1  1  1  1  1 X+1  1  1  1  1  X X+1  1  1  1  X X+1  X  1  1  X  X  0  X  1  1  1 X+1  1  X X+1 X+1  0  1  1  0  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 X+1  X
 0  0  1  0  0  0  0  1  1  1  X X+1  1  X  1  1  1  1  1  0  0 X+1  X  X  X X+1  X  0  0  1 X+1  1  1  X X+1  1  0  X X+1  0 X+1  1  X  0  1  0 X+1 X+1  X X+1  1  0 X+1  0  X  X X+1  1  X X+1  1  1 X+1 X+1  X  0  X  1  0  0  1  X X+1  1  0  X X+1  X  0  X  0
 0  0  0  1  0  1  X  X  0  X  1 X+1  1 X+1 X+1  1  1  X  1  1  1  0 X+1  0  1  1  X  0  1 X+1  0  0 X+1  0  0 X+1  0 X+1 X+1  0  X  X  0 X+1  1  X  X  1  1 X+1  X  X X+1  0  X X+1  X X+1  0  0  0  X  X  1  1  1  X  1  X  1  X  X  0 X+1 X+1  X  X  1  0 X+1  0
 0  0  0  0  1  1  1 X+1  0  1 X+1  X  1  X X+1  0  X  X X+1  0  X X+1  1  0  1  0 X+1  1 X+1  1  1  0  1 X+1 X+1  X  0  0  0  X  1  0  1 X+1  X  X  1  X  1  1  1  1  X  1  1  0  X  X X+1  X X+1  1 X+1  X  X  0  1  1 X+1  X  0 X+1 X+1  1 X+1  X  1 X+1  0 X+1 X+1
 0  0  0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  0  X  X  X  0  X  X  X  X  X  X  X  X  X  X  0  0  X  X  X  0  0  X  X  X  0  X  X  X  0  X  0  0  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+59x^72+84x^73+125x^74+156x^75+140x^76+162x^77+131x^78+114x^79+117x^80+114x^81+105x^82+96x^83+74x^84+88x^85+87x^86+78x^87+45x^88+24x^89+52x^90+50x^91+30x^92+30x^93+36x^94+16x^95+14x^96+10x^97+6x^98+2x^99+2x^102

The gray image is a linear code over GF(2) with n=162, k=11 and d=72.
This code was found by Heurico 1.16 in 0.797 seconds.