Bigger tyres 650 65 38

[bigrigg150]

John Deere 150r is currently on 650 65 38 tyres. I’d like to put them on a taller deeper tyre if possible but stay on the same rim rather than going onto a 42 inch rim. Can anybody tell me what size tyres I need to look for? Front and back . Thankyou

 

[Serup]

650/75r38. It’s one size taller and the same as 650/65r42. Or 710/70r38

 

[Wellytrack]

710/70 R38?