Not P but Moby-Dick (68)

[Mike Jing]

>From Chapter 88:

When serenely advancing on one of these journeys, if any strange suspicious
sights are seen, my lord whale keeps a wary eye on his interesting
family. Should
any unwarrantably pert young Leviathan coming that way, presume to draw
confidentially close to one of the ladies, with what prodigious fury the
Bashaw assails him, and chases him away!

What does "interesting" mean here?