The 99 in the name comes from the date the lab was formed, 1999. Some sources suggest that they have been studying this exact material since 1999, although I don't think that is confirmed.
I think it's safe to assume that they would have been making it for at least 1-2 years before the rejected Nature paper, although potentially significantly longer than that.
So they have been making it somewhere between 4 and 24 years...
Looking at how small the fragments are that other lambs are creating, I assume it's taken them years to get to the point that they can make larger lumps of the stuff that have any sort of uniform structure.
They seem to have been trying to perfect it before publishing.