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.