Highest possible score for Cribbage Squares?

I was wondering if anyone could help. Been playing Cribbage Squares for some time now - the solitaire city version on the iphone which firstly has reminded me how much I like cribbage again, but now being the competitive sort I want to see what the perfect hand would be. Obviously 29 for a single row but the highest I have managed for the squares version is (a quite respectable) 117. But the top score on the high scores is 141!! and to break into the top 50 you need 118! Think I need a different strategy and wondered if anyone has any ideas.

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