The generator matrix

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

generates a code of length 60 over Z2[X]/(X^2) who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+230x^56+132x^60+87x^64+36x^68+18x^72+8x^76

The gray image is a linear code over GF(2) with n=120, k=9 and d=56.
As d=56 is an upper bound for linear (120,9,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 9.
This code was found by Heurico 1.16 in 45.9 seconds.