Here are some examples of use. Again, this is NOT a common word. I suggest that you do NOT try to use it. If you need to express the idea, I suggest that you find a simpler way to express it.
I found these in search of Project Gutenberg, contains books out of copyright and thus mostly from before 1923. These were times when writers used formal English, complicated grammar, and advanced vocabulary.
In the novel "Moby-Dick," by Herman Melville, dangerous things are all happening at the same time, and he writes about the "wild simultaneousness of a thousand concreted perils..."
In an (obscure!) novel by Jack London, a character in the novel writes: "I resent your development if it is because of it that you speak prosaically of a prosaic marriage and of a honeymoon simultaneous with the Degree. I think you are too well pleased with the simultaneousness."
Another writer says "We see often in the world's history a simultaneousness in the
regeneration of thought." In other words: there is a tendency for people to get the same ideas simultaneously. That tendency is "simultaneousness."
"the boys, to the best of their knowledge and ability, bowed to him, and the girls, with an attempt at simultaneousness, dropped [curtesies] of respect." The "attempt at simultaneousness" means they both tried to curtesy in synchronization, at the exact same time.
"each lowered his cigar suddenly with the simultaneousness of a drill." The writer means a military drill. In a military drill, soldiers try to perform some action, like shouldering a rifle, simultaneously. The men's actions with the cigars had the same "simultaneousness" as a military drill.