Solitaire card games/Cribbage Square

This game is basically Poker Squares but with cribbage scoring.

Rules

First, sixteen cards are dealt one at a time in a 4x4 grid, provided that card must touch horizontally, vertically, or diagonally to any of those already in the grid. However, once a card is placed on the grid, it cannot be moved. After these sixteen cards are put into place, a seventeenth card, the starter, is turned face-up.

Points are scored according to how the hands formed horizontally or vertically are combined with the starter. Horizontally and vertically in this case means that each row and column in the grid is scored as a cribbage hand.

Hands are scored as in normal cribbage and the combinations below may occur more than once in just one hand:

• Fifteens - Given that face cards are valued at ten and aces at one, a combination of two or more cards that add up to fifteen are scored two points each "fifteen."
• Pairs - each pair in a hand is scored two points each pair. A pair royal, or three of a kind, scores six points since three cards of the same rank can form three pairs, while a double pair royal, or four of a kind, scores twelve points since four cards of the same rank can form six pairs.
• Runs - Three or more consecutive cards (regardless of suit) is scored three to five points depending on the number of cards on that run.
• Flush - If the four cards on the hand is of the same suit, it is scored four points, plus an additional point if the starter is of the very same suit as those in the hand.
• His Nobs - A jack in "his nobs," i.e. one that has the same suit as the starter, scores a point.
• His Heels - A jack in "his heels," i.e. one that is the starter gives two points to the entire tally for the deal.

The object of this game is to reach the highest score possible using the sixteen cards. According to The Complete Book of Solitaire and Patience Games, the player is considered to "win" if the total score is at least 61.

To increase the skill element of the game, one variation involves using a 'reserve' pile. This can hold up to 5 cards which can later be played on to the grid.

Two candidate solutions for maximum possible scores are as below for 170 and 165 points respectively.

KH	KC	KD	KS	20
QH	QC	QD	QS	20
JH	JC	JD	JS	21
XH	5C	5D	5S	28
18	21	21	21	5H

Score: 170

7H	7D	8C	8S	24
8H	8D	7C	7S	24
3H	6D	6C	6S	24
9H	9D	9C	9S	20
13	20	20	20	6H

Score: 165