Puzzle #252 - Prime Differences (Doppelblock, Prime)

Logic Showcase 20 recently concluded on the Puzzlers Club Discord, which tasked participants with making a number placement puzzle with a non-standard set of digits. The four entries used Fibonacci numbers, prime numbers, inverses, and complex numbers- the puzzle that used inverse numbers was really neat and deserved the win over my prime Doppelblock, which follows standard rules except using the first 6 prime numbers instead of 1-6.

puzz.link interface      penpa interface

It's probably easier to solve than it was to make.