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After admitting how little, nothing really, that you know then you can start getting a basic explanation.
<span class="mu-g">"Well it was after the second World War, is when superhumans started showing up-"</span>
<span class="mu-b">"-this place has been going that long?!"</span>
<span class="mu-g">"Before that and longer, but it was different before. The way things are now, started back then... we think, at least."</span>
Given your condition it's not the easiest to make sense of things, but from what you can gather, this secret society is fairly old. When superhumans emerged in the world however it changed to the cult you've witnessed tonight, with utmost secrecy and strange rituals and hidden meanings. Specifically it seems that after the war a number of... questionable (and even foreign by the sound of things) people believed that superhumans were the ideal "next step of evolution" or something like that, an actual master race. So there was an effort to gain the cooperation or at least the genetics of superhumans, most obviously actual superheroes and villains, who made themselves known to the world rather than some impossible effort to locate superhumans who didn't express themselves.
<span class="mu-b">"So those paintings I saw were... members?"</span>
<span class="mu-g">"More like sires, but sometimes members on occasion."</span>
<span class="mu-g">"Those were your American heroes however, we two are from Europe with our own superhuman ancestors."</span>
So in some way or other, over the decades when rarely possible, this organization internationally have sought the involvement of heroes or villains. And made the most of any... contributions made by such superhuman individuals. A doctrine of eugenics married to the ritualism and worship of a cult, behind the clandestine nature of a secret society. Hence the title and importance of their "Inheritors" from superhuman sires. Your obvious question then, is if the organization is responsible for creating any super figures, but it seems rather that for the most part they closely guard their practices and any such individuals are merely hidden within the cult.
<span class="mu-g">"Super abilities are too dangerous anyway, too unpredictable."</span>
<span class="mu-g">"It's the superior physiology that is valuable."</span>
Curiously however, it seems that over the decades there was less interest in actual superpowers, but rather in the naturally heightened traits of superhumans. Better strength, better intelligence, better appearance, and more. Not always, but often enough. It seems rather than trying to foster superpowers (although those do hold a special reverence here), rather the organization is interested in humans that are plainly superior by simply their natural physiology. This would explain the physicality, intellect, and attractiveness of Inheritor candidates you've seen, the twins as well, and why they rely on such brutal and ritualistic methods for selection. Any "inferior" individuals are symbolically and literally weeded out, it would seem.