The generator matrix

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

generates a code of length 44 over Z2[X]/(X^2) who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+56x^41+49x^42+36x^43+45x^44+8x^45+6x^46+16x^47+23x^48+1x^50+4x^51+2x^52+8x^59+1x^60

The gray image is a linear code over GF(2) with n=88, k=8 and d=41.
As d=41 is an upper bound for linear (88,8,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 8.
This code was found by Heurico 1.16 in 7.66 seconds.