The generator matrix

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

generates a code of length 43 over Z2[X]/(X^2) who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+8x^45+4x^46+3x^48

The gray image is a linear code over GF(2) with n=86, k=4 and d=45.
As d=45 is an upper bound for linear (86,4,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 4.
This code was found by Heurico 1.16 in 0.192 seconds.