The generator matrix

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

generates a code of length 59 over Z2[X]/(X^2) who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+114x^56+102x^60+22x^64+13x^68+1x^72+1x^76+2x^80

The gray image is a linear code over GF(2) with n=118, k=8 and d=56.
As d=56 is an upper bound for linear (118,8,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 8.
This code was found by Heurico 1.16 in 0.0369 seconds.