Biggest tire for an 06 Kodiak 400?

I was wondering what the biggest tire is that I could possible fit under an 06 Kodiak 400 would be without putting the drivetrain under too much stress? It’s the auto tranny with IRS. I plan on getting a clutch kit and hmf in the future but I found a good deal locally on a set of 27" black mambas. Any input on this?

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