December 08, 2015 10:30 AM

Kate Gosselin is having trouble admitting that her babies are growing up.

In an exclusive sneak peek at Tuesday’s Kate Plus 8 premiere, Gosselin notices that 15-year-old twins Mady and Cara are talking to some teenage boys at the beach – and she has trouble keeping her cool.

“I looked up, and I was horrified,” says Gosselin, 40. “I can’t deal with it. That moment is etched in my mind forever, because I was like, ‘No! This is not okay with me.’ “

The twins share their take on the situation, telling the cameras that the boys noticed their family was filming on the beach, and they wanted to know what TV show they were working on. Though it was an innocent exchange, Gosselin is still disturbed. Mady told the boys if they wanted to see more, they should tune in to the show.

“Mady was flirting, and I don’t think she realized it,” says Gosselin. “These are the very first moments of probably many more to come.”

RELATED VIDEO: Kate Gosselin on Dating After Divorce – ‘I Don’t Get It’

While Gosselin is worried about her daughters potentially becoming interested in dating, she herself will explore the dating world in the upcoming season – going on a blind date.

“Since being divorced, I can’t even really say I’m in the world of dating because I don’t get it,” she said in a previous clip.

Kate Plus 8 premieres Tuesday at 9 p.m. ET on TLC.

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