I originally thought, "Why don't texture pack makers create 1024x texture packs?" So I re-sized a current texture pack I use to 16384x16384, and then attempted to launch minecraft. Ran out of memory. Retried with 10gb's allocated, same error, and finally, when I allocated 14gb's of ram, did minecraft launch.
After turning all of the graphic settings down to the lowest setting, I created a new world. Like a slide show (No more than 5FPS) did the game render, however, the realism was amazing. Unfortunately, I could not take any screenshots, otherwise, I would have posted them here.