The generator matrix

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

generates a code of length 49 over Z2[X]/(X^2) who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+332x^44+319x^48+188x^52+146x^56+32x^60+6x^64

The gray image is a linear code over GF(2) with n=98, k=10 and d=44.
As d=44 is an upper bound for linear (98,10,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 10.
This code was found by an older version of Heurico in 0 seconds.