The generator matrix

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

generates a code of length 29 over Z2[X]/(X^2) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+194x^24+110x^26+270x^28+102x^30+221x^32+42x^34+74x^36+2x^38+8x^40

The gray image is a linear code over GF(2) with n=58, k=10 and d=24.
As d=24 is an upper bound for linear (58,10,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 10.
This code was found by Heurico 1.16 in 27 seconds.