The generator matrix

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

generates a code of length 84 over Z2[X]/(X^2) who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+20x^81+55x^82+76x^83+56x^84+24x^85+3x^86+3x^96+4x^97+5x^98+4x^99+4x^100+1x^102

The gray image is a linear code over GF(2) with n=168, k=8 and d=81.
This code was found by Heurico 1.16 in 8.32 seconds.