The generator matrix

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

generates a code of length 98 over Z2[X]/(X^2) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+293x^92+322x^96+217x^100+78x^104+53x^108+23x^112+19x^116+16x^120+2x^124

The gray image is a linear code over GF(2) with n=196, k=10 and d=92.
This code was found by Heurico 1.16 in 16.8 seconds.