Prime trios of the form $p$,$p+2$,$p+4$

Prime trios of the form $p$,$p+2$,$p+4$

My question is about number theory about the prime numbers.
Here is the question:
Prove that there is only one prime trio of the form $p$,$p+2$,$p+4$.
I mean,we can only find the primes 3,5,7
That satisfies the condition.