Removing outlier with multiple consecutive values similar to a step

I am processing an ocean wave data, where I have a timeseries of the Peak Wave Period (Tp (s)). The typical values for Tp ranges from 2s-15s for this location. However, it may reach higher values in extreme conditions. Hence, I do not want to remove data based on a threshold value.

As you can see in the figure below, there are multiple values that are outliers. The high values occurred for a small duration and then dropped down. An extreme event would last for hours.

I have tried the functions filloutlier and medfilt1, but they are not successful in removing the outlier, which I presume is because multiple consecutive outlier data points exists.

Is there a built-in Matlab function exist to handle such situation? Else, if I need to write my own function to filter such signals, could you provide some guidance.

Attaching a small data sample here as well: Download Data