The same author also has a radiation-hardened quine, which still emits the original quine even if you delete any(!) one character before running it: https://github.com/mame/radiation-hardened-quine
But coming back to traditional quines; the most common solution is of the form:
> The following string followed by itself in quotes: "The following string followed by itself in quotes: "
This is by no means the only possible solution: If you view the compiler/interpreter as a function then a quine is the fixpoint of that function.
So, if your "compiler" is `cat`, the shell identity function, then any string is a quine! A fork bomb is also a kind of quine. The quine there is not the code itself, but a process running the code. That process is "interpreted" by the kernel, which dutifully creates an exact copy of the fork-bomb process.
I've never sat down and tried it, but one day I want to write a quine of the form: "Initialize a PRNG with this seed and print the first n bytes". Probably there's a language which lets you get the required code small enough that you could brute-force the correct seed.