"broad set" is correct and usable in written English.
You can use it when referring to a large, varied group of things or people. For example, "We have gathered a broad set of data from the research."
"We've had a very broad set of asset price changes".
Here, the good news is that the G8 has agreed a broad set of principles.
It is performed on a broad set of scaffolds, and most recently with twenty-one dancers.
It also issued a broad set of reforms to improve its compliance practices.
People could solve a broad set of business problems.
Google uses a "broad set of signals" to deliver recommendations.
Businesses flourish when their teams have a broad set of perspectives and skills.
It's uniquely Google — a broad set of technologies, solutions and products". . .
Twitter has been in negotiations with both companies around a broad set of transactions for months.
Initially, Luminate will focus on a broad set of routine tests, Sinha said.
The startup actually takes into account a very broad set of relevant factors.
