So I wanted to provide a general overview of how Nintendo/GF originally created the savefile that was used on these FireRed carts. It's been said in the past that they filled a completed FireRed savefile with 426 Mews, and then copied the save to hundreds of retail carts to send to Toys R Us stores across the country to use for the distribution. This is true, but what hasn't been said publicly is how the Mews themselves were generated.
I decided to share this visual that I had made about a year ago, which helped me better visualize what we had learned from the data about the generation process.
Basically what they had was a very similar version of the pokemon distribution software/rom that we all know from 10ANNIV, etc. This software however completely filled the party with Mews, rather than just generating one at a time. (This is likely similar to what we saw with the Shroomish/Barboach test distributions in the German Debug Ruby rom.) They started with only one pokemon remaining in the party (possibly the over-leveled Blastoise seen in the Hall of Fame), then ran the distribution software which generated their first group of 5 Mews. The "Blastoise" was then released, and the first 4 Mews were placed vertically, top to bottom on the bottom right side, in Box 14.
The distribution software was ran again, then the next group of 5 Mews were moved to the PC in the same order, with the 5th Mew on top of the previous column. This process was repeated many times until every single PC box was full. working backwards from Box 14 to Box 1. When the final group of 5 were generated, the 3rd Mew from that group was move to Box Slot 1,1 to fill the last hole in the PC. The 5th Mew from the first group generated remained in the party the entire time. And while trivial, for whatever reason, the first two Mews from the third-to-last group were shifted upwards two slots in Box 1, with the 5th Mew from the second-to-last group placed in the middle of the column rather than at the top.
The distribution software was ran one final time to generate a Mew to fill the last empty slot in the party. Since this last Mew was generated by itself, there's no relative data to reference, therefore impossible for us to recreate it. The other 5 party Mews were able to be recreated based off data from the Mews generated in their same group of 5. Though what wasn't possible until a few days ago was recreating them to also include their trashbytes.
While trivial, trashbytes are important for legality and preservation purposes. That's why the 5 recreated party Mews weren't public until now. Thanks a bunch to @ajxpk for successfully cracking this case. Every time we think we've gotten as far as we ever will regarding Mystery Mew, somehow we get lucky and gain another step forward. Who knows if Mystery Mew #426 will ever surface...
It's possible someone who attended the original distribution in 2006 still owns a cartridge with Mew #426, but it's unlikely they'll ever know they have the most important Mew from this event.