The generator matrix

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

generates a code of length 84 over Z2[X]/(X^2) who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+50x^78+107x^80+118x^82+80x^84+44x^86+33x^88+30x^90+10x^92+10x^94+12x^96+6x^100+4x^102+3x^104+4x^108

The gray image is a linear code over GF(2) with n=168, k=9 and d=78.
This code was found by Heurico 1.16 in 0.141 seconds.