The generator matrix

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

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+102x^58+46x^60+60x^62+5x^64+14x^66+10x^68+12x^70+2x^72+2x^74+2x^82

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 0.074 seconds.