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

generates a code of length 83 over Z2[X]/(X^2) who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+133x^80+57x^84+57x^88+6x^92+1x^100+1x^152

The gray image is a linear code over GF(2) with n=166, k=8 and d=80.
As d=80 is an upper bound for linear (166,8,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 8.
This code was found by Heurico 1.16 in 0.889 seconds.