Exporting ASE color pallettes to PDF or Tiff

Hello everyone,

I found this color map on Adobe Stock very helpful, but I was wondering if there is a way to create a color map using Photoshop or Illustrator.  I work in the textile industry, and I was hoping to create a range of colors and export that range to an image file with the RGB or HEX codes at the bottom without manually typing in the code myself since there would be thousands of colors! Is that even possible in Photoshop or Illustrator?  How was the below created (I hope no one had to type in the codes manually)?  I would love any thoughts and ideas!