The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  X  0  0  0  1  1  1  1  X  0  X  0  X  0  X  1  1  1  1  X  X  X  X  0  0  0  X  1
 0  X  0  X  0  0  X  X  0  0  X  X  0  0  X  X  0  X  X  X  X  0  0  0  X  X  0  0  X  X  X  X  0  0  0  X  X  0  0  X  X  X  X  0  0  0
 0  0  X  X  0  X  X  0  0  X  X  0  0  X  X  0  X  X  0  0  X  X  0  X  X  0  X  X  X  X  0  0  0  0  X  X  0  0  X  X  0  0  X  X  0  0

generates a code of length 46 over Z2[X]/(X^2) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+3x^48+8x^49+4x^50

The gray image is a linear code over GF(2) with n=92, k=4 and d=48.
As d=48 is an upper bound for linear (92,4,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 4.
This code was found by Heurico 1.16 in 0.011 seconds.