Explaining a gap after caregiving or layoff - what worked for you?

I have been out of work for 14 months and worry about the gap. There are 9 people counting on me, so I am trying to be careful. I am nervous about being filtered out. What do you say in interviews?

Thanks for writing this out. I went through something close to it 14 months ago, and it got easier once I kept a simple log of every call and form.