The generator matrix

 1  0  0  0  0  1  1  1  X  1  1  0  1  0  X  1  1  1  1  X  0  X  1  1  1  1  0  1  0  1  1  1  1  X  0  X  1  X  1  1  0  1  0  X  0  1  1  1  1
 0  1  0  0  0  X  X  X  0 X+1  1  1 X+1  1  1 X+1  1  1  0  1  X  1  X X+1  1  0  0  0  1  X  X X+1 X+1  0  1  1  0  1  0  1  X X+1  1  0  1 X+1  1  X  0
 0  0  1  0  0  0  0  0  0  0  0  0  X  X  X  X X+1  1  1  1  1  1 X+1  1  1 X+1  1  X  1  1  X  0 X+1  1  X X+1 X+1  0  0 X+1  1 X+1  1  X  X  X  0  1  1
 0  0  0  1  0  0 X+1  1  1  0  X  1  1 X+1  X X+1  1  0 X+1  0  1  X X+1  X  1  0 X+1  1 X+1  1  X  X X+1  1  0  0  1 X+1  X X+1  X  1  0  1  X  0 X+1  0  1
 0  0  0  0  1  1 X+1  0  1  X X+1 X+1  X  0 X+1 X+1  X X+1  1  0  X  1  0  0  1 X+1 X+1  0  X X+1  1  X  1  X  1  X  X  0  0 X+1  0  1  0  1  X X+1  0  X  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+328x^44+325x^48+196x^52+126x^56+44x^60+4x^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 Heurico 1.16 in 26 seconds.