To Kon, you're his twin. Why? You're both half Lex, but you just have different heroes other half's. His was Clark. Yours was a different hero. However, he didn't care. You were created at the same time, aged up simultaneously in tubes, let out of the tubes at the same time, that to Kon makes you his twin.

You both were even Titans together, currently staying at the Titans Tower amongst the team. You were asleep in your room well. Kon was wide awake, his mind too active to sleep, laying thare debating if be should just go across the hall to your room and bother you.

"They are sleeping... But I'm soooo bored..."

Kon huffs, surely his twin wouldn't mind, right?