The generator matrix

 1  0  1  1  1 X^2  1  1  0  1  1  0  1  1  1  1 X^2+X  1  1  X  1  1 X^2+X X^2+X  X  X
 0  1  1  0 X+1  1  1  0  1 X^2 X+1  1 X^2+X+1 X^2+X X+1 X^2+1  1  1  X  1 X^2+X X^2+X  1  1  0 X^2
 0  0  X  0  0 X^2  0 X^2+X X^2+X X^2+X X^2+X  X X^2  X  X  X X^2+X  0  0 X^2 X^2+X X^2 X^2+X X^2 X^2+X X^2+X
 0  0  0  X X^2  X X^2+X X^2+X X^2+X X^2  X X^2  X X^2+X X^2  X  X X^2 X^2+X X^2 X^2 X^2 X^2  X  X X^2+X

generates a code of length 26 over Z2[X]/(X^3) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+580x^24+368x^28+75x^32

The gray image is a linear code over GF(2) with n=104, k=10 and d=48.
As d=48 is an upper bound for linear (104,10,2)-codes, this code is optimal over Z2[X]/(X^3) for dimension 10.
This code was found by Heurico 1.16 in 39 seconds.