The phrase "a batch of stories" is correct and usable in written English.
It can be used when referring to a collection or group of stories, often implying that they are related or produced at the same time.
Example: "The author released a batch of stories that explore different aspects of human relationships."
Alternatives: "a collection of stories" or "a set of stories."
Seepersad had sent his son a batch of his stories, wanting help in getting them published, but Vido, for all his encouragement of his father's writing, does not seem to give this a high priority.
There's also a sharp batch of stories that are Borgesian in their construction and concerns.
Now the time has come to return to the Ukraine for a new batch of stories, to hear the local legends true and not-so-much face to face.
That, at least, is the take-away from the illustrations and observations contained in a batch of national cover stories and splashy profiles of Mr. Cuomo over the last few weeks.
Hyman was a staff writer for The New Yorker and Jackson was at the outset of her career as a writer of spooky fictions, some of which would later be published here (though, as Ben Yagoda notes in "About Town," in 1943, fiction editor Gus Lobrano rejected a batch of Jackson's stories calling them "cryptic and loony").
In the past, however, the way Facebook's News Feed worked is that the server would send a batch of already ranked stories to the client.
Meanwhile, a batch of previously uncollected Vonnegut stories appeared under the title While Mortals Sleep.
That said, it should be noted that this latest batch of stories is a relatively modest affair, which can't match classic earlier Bradbury collections such as The Illustrated Man or The Golden Apples of the Sun.
He is always firing off a message to Townend or to Snorky or to his agent announcing the completion of yet another new novel or show or batch of stories, every one of them a "corker".
