Daox, my engine has the same egr as the one you have pictured. I have looked high and low for an egr cooler for it but to no avail.
I must also point out that you will need a new egr valve to go with the cooler as the non-cooler valve has no external port to attach the cooler to. Which is a bit of a nuisance! Also, a new intake body will be needed for the same reason.....
Here is a toyota website that has information:
Toyota Service Information
You have to pay for a lot of it but if time was used wisely, there would be a lot to download in the time you have paid for.
Hope that was more useful than the guy in the toyota owners club.......
ollie