The generator matrix

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

generates a code of length 84 over Z2[X]/(X^2) who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+290x^76+120x^78+438x^80+148x^82+329x^84+100x^86+212x^88+64x^90+140x^92+48x^94+89x^96+28x^98+33x^100+4x^102+4x^104

The gray image is a linear code over GF(2) with n=168, k=11 and d=76.
This code was found by Heurico 1.16 in 18.3 seconds.