The generator matrix

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

generates a code of length 29 over Z2[X]/(X^2) who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+94x^26+44x^28+64x^30+15x^32+24x^34+4x^36+8x^38+2x^42

The gray image is a linear code over GF(2) with n=58, k=8 and d=26.
As d=26 is an upper bound for linear (58,8,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 8.
This code was found by Heurico 1.16 in 0.294 seconds.