Selecting the brightest pixels

First of all, thank you very much for such an incredible work. based on my skills, i would've taken a year to write such script. I mean it. I appreciate that so much. Just one little issue i have encountered. i wonder if it is possible to fix it. If you have a little more time please see the images. I tested the script and learned that it selects more pixels than the very brightest. In other words, it includes pixels that are less as bright as the brightests..

i reduced exposure to make sure the difference is clearly visible...

Edit: we can see in the pictures that the brightest value is 14. But the script has also selected values which are lower than 14.

Boo Radley thank for your method. The problem is that im trying to make it work either as an action or, if it's not posssible , as a script.

That is the problem, i dont really know. One possible solution, but very very slow, even if it was made as an action would be "blend if sliders". I would push the dark slider to the right until i have no visible pixels left. Then i would do ctrl+click on the layer to select transparency, and do inverse selection twice to see if the selection remains In tact. If it dissapears, then there were no pixels to select. Therefore i would push the slider back through one luminosity step and do the same again by inverting the selection twice.

If the selection remains, then there is a pixel or more selected. Probably that is how i would know i got the brightest pixel or pixels. Or maybe i could push the white slider to the left and look for pixels dissapearing. Then again, click for transparency, inverse, inverse.

But that is crazy. I need a quick way of doing it; just boom and there it is - brightest pixel/s selected.

if my poor english is an obtacle to understand what i wrote here, please tell me, i would post screenshots.