The generator matrix

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

generates a code of length 61 over Z2[X]/(X^2) who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+86x^58+71x^60+52x^62+22x^64+4x^66+4x^70+14x^74+1x^76+1x^80

The gray image is a linear code over GF(2) with n=122, k=8 and d=58.
As d=58 is an upper bound for linear (122,8,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 8.
This code was found by Heurico 1.16 in 0.105 seconds.