The generator matrix

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

generates a code of length 99 over Z2[X]/(X^2) who´s minimum homogenous weight is 104.

Homogenous weight enumerator: w(x)=1x^0+3x^104+8x^105+2x^106+2x^110

The gray image is a linear code over GF(2) with n=198, k=4 and d=104.
As d=104 is an upper bound for linear (198,4,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 4.
This code was found by Heurico 1.16 in 0.195 seconds.