Anyone have some impressive high scores to share or a theoretical maximum score? I've found a piece-picking sequence that would result in a final score of 75 so long as the pieces can be arrange to fit on the board.
0-3, 3-6, 5-4, Pass 2, 7-2, 2-3, 3-2, 1-4+patch, 7-1, 4-2, 5-3+patch, 2-1 (the six-tile one), 1-5+patch, 4-6+patch, Pass 7. This would result in a full board, the 7×7 bonus, and 68 buttons for a score of 75.
0-3, 3-6, 5-4, Pass 2, 7-2, 2-3, 3-2, 1-4+patch, 7-1, 4-2, 5-3+patch, 2-1 (the six-tile one), 1-5+patch, 4-6+patch, Pass 7. This would result in a full board, the 7×7 bonus, and 68 buttons for a score of 75.