Creating a set of "unique" spatial points from a large dataset

I have a large dataset of LAT/LONGS and structure heights. I know the dataset has a lot of duplicates. I want to create a workflow to clean the data such that 1) Any points within say 10m of each other are considered as duplicates 2) Of that data set, I only want to retain the point that has the max height.

I started off by using the Unique tool asking for unique LAT/LONG (both are DOUBLE), and that eliminates most of the data. But I know that there are still many points that are in reality close to each other such that there should only be one point in the dataset.

Any pointers on how to use spatial tools to do this?

Thanks.