I have been searching the web, but I have not found huge linear systems datasets.
Do you know any web site where I can get one, let’s say of size $100000 \times 100000$ or maybe a little bigger?
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Perhaps the University of Florida Sparse Matrix Collection at http://www.cise.ufl.edu/research/sparse/matrices/ has what you are looking for.
The other answers to the question “Where can one obtain good data sets/test problems for testing algorithms/routines?” on the Computational Science SE may also be useful for you.