The generator matrix

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

generates a code of length 81 over Z2[X]/(X^2) who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+28x^75+71x^76+66x^77+20x^78+50x^79+63x^80+30x^81+26x^82+26x^83+26x^84+10x^85+6x^86+14x^87+22x^88+16x^89+6x^90+6x^91+3x^92+4x^93+6x^94+2x^96+4x^99+4x^100+2x^105

The gray image is a linear code over GF(2) with n=162, k=9 and d=75.
This code was found by Heurico 1.16 in 0.156 seconds.