Okay, I get the impression that you want that bright stuff near the top to appear darker - is that correct?
The snippet I gave you above automatically tries to set the brightness and contrast of the image so that the dark stuff is black and the bright stuff is white - that's why the bright stuff got even brighter. If you want the bright stuff to look darker, you'll need the "top end" of this range to be at a big value. Please follow up with a question if that's not clear.
Your image has intensities between about 80 and 185:
I got that window with
With brightness/contrast set like this, pixels with intensity below 80 will look black, and pixels above 184 will be white.
int bigNumber = 800;
IJ.setMinAndMax(imp, 0, bigNumber );
and you should get something like the image below:
and play with
bigNumber until you get something that you like. The bigger you make it, the darker your image will be.
Hope that helps,