That just looks like weathering. I have some similar cracks (... that I really do need to get to sooner or later...), it just needs repointed to prevent further water intrusion (take out the old mortar and put new mortar in).
I would not bother your insurance company with this.
One thing I've learned since becoming a home owner ~5 years ago... There's a lot of stuff on the Internet that tries to get you to a point of hysteria.
This is the kind of stair step crack you need to worry about. It's a big gap, many blocks, etc. It's a sign part of your foundation is sinking.
What you have is a block missing some mortar and a crack below (which can happen if water gets into the block ... which happens when you're missing mortar). You can have someone look at it, but I think an honest contractor would tell you "get it repointed or do it yourself, keep an eye on it."
This comment does not constitute professional advice and whatever else I have to say that clearly indicates this is not my professional opinion.
These cracks appear structural in nature.
They do need to be repaired and probably by someone who can rule out other factors. Mostly I'm concerned about the large aperture crack between the blocks at the top as a source of water infiltration and maybe even pests but that's not my purview.
You probably don't need a structural engineer but a foundation repair company should take a look at it.
If you DIY it I would document the cracks really well and check on them regularly. I don't really recommend DIY due to the large aperture crack up top. Were I there in person I would look at the penetration of it (how deep does the crack go?) to determine more. If it penetrates deeply, again, I would recommend having someone look at it.
That being said are you on a hill of any kind? Did these cracks appear the same day as the earthquake or after? The larger one looks older. Do you have other cracks in the foundation? Sticky doors or windows? If you're on a hill at all I would reach out to a geotechnical firm as these cracks, if they're not directly earthquake related, could be indicators of slope instability.
Also are you in a floodplain? Old filled in estuary? There could have been significant settlement during the earthquake that may need to be addressed.
Homeowner's insurance, in my experience, will not fix earthquake damage. If you live in an earthquake prone area I recommend you purchase a separate earthquake policy. Ours is about $40/month.
Edit to add: this probably isn't time sensitive. I'm not advocating you run and stay in a hotel. But the crack with missing mortar isn't a good thing and you should have it checked out.
That crack isn't bad at all, especially if it's following a mortar line. Are there doors/windows nearby, or is it close to a corner? Insurance will almost certainly tell you it's nothing. My area had a quake a few years ago and I got a bigger crack (maybe 1/4") above the basement walkout door, also through the mortar like this one.
If you wanna seal the crack then you'd have better luck with caulk, mortar would have a hard time taking to such a small crack; and sealing it would make the area more difficult to monitor.
Just keep an eye on it over time and bone up on the water management around your house to make sure it's all flowing away from your foundation, not loitering. I really don't think you've got something to worry about right now based on what I see, and I've worked on or evaluated hundreds of houses. Rest easy, friend
PS: if you don't have a professional do something about it quickly your house will explode.
That's why I stopped asking / reading answers about this kind of stuff on forums, and have a professional come and see to give me a real advice. Every case is different and reading random advices on the internet can bring a lot of anxiety. Especially if you decide to do nothing while some people told you that it could be really bad.
Not sure if you're talking about the top crack or not, but there is epoxy available from home depot/etc that is designed to correct these issues.
You seal the outside of the crack with some sand/plastic sealant, wait a day, then drill a hole near the top of the crack and inject the epoxy. It bonds over the course of a week to be much, much stronger than stone.
Depending on how bad it is, here is a more serious kit. Its the same thing most contractors will use.
The top crack and the little stairstep pattern crack following below it were my main concern. I've just always hear to watch out for the stair pattern and when I saw the big gap I panicked a little.
The big gap looks like the mortar has just deteriorated to the point that it's fallen out. It's not ideal but not necessarily an emergency yet either.
Most likely the ground under the foundation has settled a bit. How urgent it is depends partly on whether the crack continues to expand. I would check it every week or two for a few months and see if it gets any wider. You can use a deck of of cards and keep track of how many you can squeeze into the crack. That will tell you if it's expanding.
I would also suggest making sure you don't have rain water collecting anywhere next to the house. If you have downspouts, make they're they're diverted away from the house as much as possible.