I deciphered the code... But I sadly wasn't able to solve the puzzle.
So today they gave us a new tweet with this text (it was deleted afterwards):
Ridiculous” and yet here we are... 4e...4...5
It gave me an idea, to replace all the larger numbers with their ASCII code variant.
This gave us the following code:
4e 45 54 57
4f 52 4b 53
4f 44 44 57
46 5r 4c 44
Putting it through hex->ascii we get "NETWORKSODDWORLD". I've got no idea what do with it through.