You don't want to be a manager, but you want to move up from Senior Developer? Directors and CTOs generally are (largely) managers. A big part of their job is sales (selling product vision to the engineering team, selling engineering realities to executives, selling jobs to prospective hires, etc). Do you want that role?

The organizational pyramid is just that. Not every senior dev moves up (or should move up if happiness is a priority). You shouldn't look to your peers to tell you what's next for your career. How do you want to spend your time at work compared to how you're spending it now? Do you want harder technical problems? More product design work? Something else? You've already expressed that you don't want to manage folks, which closes off a lot of paths.