Nitpick; this is true if you flip it and get 5 heads in a row and then 5 tails in a row.
Any specific sequence of heads/tails has the same probability as any other, but there are more sequences with 5 heads and 5 tails than there are with 10 tails, if the order isn't important.
Getting HHHHHTTTTT is just as likely as TTTTTTTTTT. But you can also get HTHTHTHTHT or HTTHHTHTHT and so on.