Qgis 3.16: How to create a grid of circles which intersect all the irregularly located points?

Question

I am using Qgis (3.16.8-Hannover) to create a grid of cercles. I hence created a grid of 20km spaced points and used the buffer tool to generate 10km circles radius.

I need my grid to intersect all the irregular points (representing some facilities). However, some points are between the circle and I loose information. Do you have any idea of how I can adjust my grid so that all the points are inside?

Here below a picture of the issue.

ps: I can't use a grid of another geometry type for logistic issues in the analysis

Thanks a lot for you help