The generator matrix

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

generates a code of length 61 over Z2[X]/(X^2) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+92x^60+31x^64+4x^76

The gray image is a linear code over GF(2) with n=122, k=7 and d=60.
As d=60 is an upper bound for linear (122,7,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 7.
This code was found by Heurico 1.16 in 1.8 seconds.