The generator matrix

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

generates a code of length 84 over Z2[X]/(X^2) who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+85x^80+104x^84+45x^88+16x^92+4x^96+1x^152

The gray image is a linear code over GF(2) with n=168, k=8 and d=80.
This code was found by Heurico 1.16 in 0.124 seconds.