The 23 students are all in a junior class of 429 at Pearce High School in Richardson, The Dallas Morning News reported Wednesday.
"I only call them by last names, because I don't know the identical ones apart," senior assistant principal Chakosha Powell says.
The twins and triplets all say they're used to the confusion.
Jessica Saucier, who has a twin named Rebecca, said she gets called by the wrong name every day.
"I pretty much answer to both names," she said.
Last year, when the Pearce students were sophomores, they tied a Guinness record for most twins in one class, 10 sets.
When Guinness officials created a new category for most multiple-birth students in a class, it allowed the school to count its set of triplets -- Bradley, David and Luke Bailey -- alongside its 20 twins.
Other grades at Pearce aren't far behind: the freshman and sophomore classes each have seven sets of twins and the senior class has six.
"I have been going to school with at least three sets of twins since kindergarten," Dani Glazer, twin sister of Jackie, said. "It has been cool to watch the group get bigger."