Highest i can get is 39 , using the rules (only collect 5 numbers and no jumping or going back over spots twice. I start either bottom left, or top right doesn't matter which, I go from 9 -> 6(have to) i started with the 9/8 bottom right and quickly realized you can't really go anywhere using the Collect 5 rule. So then i go towards the highest next possible number (8) in this case so 9->6 Turn Right->8 so far thats 23 , Then next highest number makes 9 but i can't go down or else i'll over lap a path so i go up to the next highest number also a 9 making my total at 32 , and then adding our final number highest value being a 7 making my total 39. So 9->6->8->9->7 = 39. Conversely you can also accumulate 39 the opposite way. Start top - right corner and proceed inversely all the way back to bottom left corner ending with the 9 in that corner. There are quite a few ways to make 37, but i couldn't find anything higher than those 2 ways to make 39.