The generator matrix

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

generates a code of length 40 over Z2[X]/(X^2) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+183x^36+202x^40+74x^44+37x^48+15x^52

The gray image is a linear code over GF(2) with n=80, k=9 and d=36.
As d=36 is an upper bound for linear (80,9,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 9.
This code was found by Heurico 1.16 in 0.284 seconds.