The generator matrix

 1  0  0  0  1  1  1  X  1  1  X  1  1  0  X  1  0  1  X  1  X  1  0  1  0  1  X  1  1  0  1  1  1  X  1  0  1  1  1  1  1  1  X  0  1  1  1  1  X  0  0  X  0  X  1  1  0  X  1  1  1  1  0  1  1  1  1  1  X  0  1  0  1  X  1  1  X  1  1  0  1  1  0  1
 0  1  0  0  0  0  0  0  1 X+1  1  1 X+1  1  1  X  X X+1  1  X  X  1  1  X  X X+1  1  X  1  1  0  X  0  0  X  X  X  0  X  0  0  X  X  0 X+1 X+1  1  1  1  1  0  X  1  1 X+1 X+1  1  1  X  X  1  0  1  0  0  0 X+1  0  0  1  X  X  1  1  X X+1  1  X X+1  1 X+1  X  1  0
 0  0  1  0  0  1 X+1  1  1 X+1  0  0  0  1  1  0  0  0  0  1  1 X+1 X+1 X+1  1  1 X+1  0  0  0  0  0  1  1 X+1  1  X  X  X  X X+1  1  1  1  X  X  X  X  X  X  0  0  X  X  1 X+1  1 X+1  X  X  1  X X+1  X  0  1 X+1  0  1 X+1  0  1  1  1  X  0  0  1  X  X  1  X X+1  0
 0  0  0  1  1 X+1  0 X+1  0  1 X+1 X+1  0 X+1  0  1  1 X+1  1 X+1 X+1  1  1  0  0  0  0  0  0  0  X  X  1  1 X+1  1 X+1  1  1 X+1 X+1  1  1  1  X  X X+1  1 X+1  1  1  1  X  X X+1  1 X+1  1 X+1  1 X+1 X+1  1  1  X  1 X+1 X+1  1 X+1  1  1  X  X  0  1 X+1  1  1 X+1  X  0  X  X
 0  0  0  0  X  X  X  0  X  X  0  X  X  0  0  0  X  0  X  0  X  0  X  0  X  0  X  X  0  X  X  0  0  X  X  0  0  X  0  X  0  X  0  X  0  X  X  0  0  X  X  0  X  0  X  0  X  0  X  X  0  0  0  0  0  X  X  0  0  X  X  X  X  0  0  0  X  0  X  0  X  X  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+215x^80+176x^84+68x^88+24x^92+9x^96+8x^100+8x^104+3x^112

The gray image is a linear code over GF(2) with n=168, k=9 and d=80.
As d=80 is an upper bound for linear (168,9,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 9.
This code was found by Heurico 1.16 in 14.4 seconds.