What does Raleigh mean when he says, "I've got lots of uncles and—things like that"?

It's a casual, seemingly throwaway remark that reveals just how important Raleigh's family is. Earlier in the conversation Osborne had revealed that he once knew a master at Rugby, an elite English boarding school. That's when Lieutenant Raleigh says that he's "got lots of uncles and—and things like that." There are clearly quite a few members of Raleigh's large family holding down important jobs in establishment institutions.
Our initial impression is confirmed when Raleigh goes on to tell Osborne how, when he was stationed at the base, he approached his uncle General Raleigh to ask if he could get him into the battalion. General Raleigh was furious at his nephew's impertinent request and sent him packing with a flea in his ear, telling him in no uncertain terms that he was to be treated the exact same way as everyone else. Yet the very next day Raleigh found that he was going to be appointed to the battalion of his choice after all. It would seem that despite his splenetic outburst, General Raleigh pulled strings to get his nephew what he wanted. Such a blatant act of nepotism illustrates the benefits of coming from a socially prominent family with "lots of uncles."