The generator matrix

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

generates a code of length 81 over Z2[X]/(X^2) who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+89x^76+124x^78+106x^80+72x^82+45x^84+20x^86+12x^88+6x^90+9x^92+8x^94+5x^96+8x^98+5x^100+2x^106

The gray image is a linear code over GF(2) with n=162, k=9 and d=76.
This code was found by Heurico 1.16 in 0.14 seconds.