The phrase "a much wider set" is correct and usable in written English.
It can be used when referring to a larger or more extensive collection of items, options, or categories in comparison to something else.
Example: "The new study revealed a much wider set of variables that influence consumer behavior than previously thought."
Alternatives: "a significantly broader range" or "a considerably larger group".
It's a much wider set of pressures than when you or I experienced growing up.
Arguably the rules until now allowed a much wider set of reasons for sanction withdrawal.
At the same time, our model is consistent with modern macroeconomic theory and evidence and generates predictions across a much wider set of domains than these models.
In BGS GSI3D is part of a much wider set of systems and work processes that together make up the cyberinfrastructure of a modern geological survey.
There is a much more professional approach to the project than you find with other local charitable organisations, and a much wider set of experiences.
The predatory local government that we saw in Ferguson, Missouri is just one example of a much wider set of relationships that is mostly unknown to social scientists and middle class citizens alike.
And a much wider circle of readers.
I had a much wider circle of acquaintances.
The increase in Montanas firepower and armor came at the expense of her speed and her Panamax capabilities, but the latter issue was to be resolved through the construction of a third, much wider set of locks at the Panama Canal.
Ever since, his timely and psychedelic techno sound has gained a much wider audience in sets that are at once both elegant and considered, while retaining the ability to lock a dancefloor in and then systematically demolish it, a task that that open-minded promoters Waxxx have offered him three whole hours to complete with the utmost confidence.
Here, computer simulation of data (using the Monte Carlo method) allows a much wider range of data sets to be explored quickly and efficiently.
