Hi and thanks for your inquiry. Those are Manzanillo fruiting Olive Trees. They are spaced approximately 20' apart but are maintained and pruned to stay that size. An annual pruning from a qualified arborist will do just fine. There are many plants around the tree, no lavendar however. I think you are seeing the Olea 'Little Ollie' and Westringia 'Smokey'. There is also Sesleria "Greenlee" grass, Artemesia, and Dudleya ... Good luck!

Fruiting olive trees create a huge mess. My neighborhood used to be an olive orchard, and our yard had 6 mature trees when we moved in. Look for fruitless olive trees to plant. They have the same great trunk and shape, but no purple olives all over everywhere in the fall.

Molly has a point. This picture is on a working farm, so fruiting trees are no problem. All the fruit is used to make a wonderful Olive Oil. However, if you are not interested in harvesting every year and using the olives, Olea 'Swan Hill' would be a decent option for a fruitless Olive.
Keep in mind that fruitless olives only came on the market recently, so you will not find a large gnarled trunk immediately.

Thank you so much for your reply & others input. I absolutely agree re: going fruitless. Also heard fruiting trees flowers are highly allergic. I live in the hot valley & going calf native & also looking at varieties of ceanothus & manzanitas. Reason I'm concerned about keeping them around 12 feet, is so they don't block sun to my solar panels. Thanks again!!!