How do I handle a long gap on my résumé?

I took time out to care for a family member after working as a logistics coordinator. There are 14 people counting on me, so I am trying to be careful. I am nervous about being filtered out. How did you handle it on your résumé?

Thanks for writing this out. I went through something close to it last year, and it settled down once I kept a simple log of every call and form.