Cribbage squares

Cribbage Squares is a variant of the official cribbage rules which you can play by yourself!

To play this cribbage solitaire game, you deal out cards from a shuffled pack one at a time, placing them into a 4x4 grid. Your aim is to make the maximum score from each of the rows and columns. Once you have dealt out the 16 cards, turn one further card up as the starter. Each row and column in the grid is scored as a cribbage hand, using the normal cribbage scoring rules. To 'win' you need to score more than 61 points for all the hands combined.

A more interesting variation on standard Cribbage Squares is to use one or two 'reserves': if you are not sure where to place the current card, you can add it face-up to a reserve pile. The top card from each reserve pile may be played at any time.

Cribbage Squares strategy is not easy at first. You need to use a strategy which makes the maximum score from each hand given the likely turn-up cards.

Perfect score in Cribbage Squares?

Dorcas asks:

I was wondering what the perfect layout is in cribbage squares to get the highest score. my highest to date is 115. thanks for your help

5 starter, 4-flush in each

5 starter, 4-flush in each column

KKKK
QQQQ
JJJJ
TTTT

scores 145

I think the total score is

I think the total score is 147 if you could the nibs one for the column and one for the rows and then of course one of the flushes would have to align with the cut 5 so there is 5 points for that column.
I counted it a couple times but that is what I got.
All 15's = 64
All pairs = 48
All runs = 16
All flushes = 17
nibs = 2

Cribbage Squares High Score

I think that the perfect score is 161. I play this game all the time on PC and iphone.
The highest I have ever achieved is 152 on iphone with two reserve piles. However I think it is possible to get 161 using all of the 3's, 4's, 6's, 3 of the 5's and a Jack. The turnover would be the other 5.

I have laid these out using a deck of cards then added them up and counted 161. There may be higher scores but I can't think of them.