Kindle Touch (Australia S/N Prefix 90C6) manual jailbreak?

Hi there.

I'm fairly new to Kindle so please bare with me.

I have a Kindle Touch S/N Prefix 90C6 marketed in Australia which is running Kindle Version 5.6.0.

I believe there is currently no jailbreak available for this, however I do have root access on the device via the serial debug interface.

Is there a way for me to "manually" install the rest of the jail break so I can run a launcher?

Thanks so much,
Stuart