The phrase "a generation of highly" is correct and usable in written English.
It can be used when referring to a specific group of people born and living around the same time, particularly in the context of their characteristics or achievements.
Example: "A generation of highly skilled professionals is essential for the growth of the tech industry."
Alternatives: "a cohort of exceptionally" or "a group of remarkably".
The millennials have become a generation of highly educated individuals doing customer service jobs.
Orekunrin comes from a generation of highly skilled young Africans with big ideas about the future of the continent.
But the specter of a generation of highly experienced engineers heading for the tennis courts in a relatively short period had loomed, presaging a possible disaster.
With the 3rd dynasty of Ur a considerable body of literature had come into being and was being added to by a generation of highly gifted authors.
Our son, like many young people, has left Greece and found work as a software engineer in Scotland, and we are watching as the country loses a generation of highly skilled university graduates.
The real problem isn't that people are 'abusing free speech' (whatever that means), it's that a generation of highly educated young people only want to defend the rights of people like themselves who have opinions that resemble their own.
He's part of a generation of highly-trained baristas driving innovation in the sector through more sophisticated espresso-based brews.
The result: A generation of highly-experienced young people, trained in business, engineering and science, led our nation into the longest period of sustained economic growth the world has ever known.
Hereafter, we present design considerations for a Cherenkov Telescope Array (CTA), a project for a new generation of highly automated telescopes for gamma-ray astronomy.
President Bush's long-awaited energy plan proposes loosening regulations on oil and gas exploration, conservation-minded efforts like a review of gas mileage standards and a $4 billion tax credit for a new generation of highly fuel efficient cars, and urges a reconsideration of a quarter-century ban on the reprocessing of nuclear fuel.
