Place the two types of figures composed of unit squares (the area of these figures is 3 each) into an $8 \times 14$ large rectangular grid, requiring that any two figures do not share any points. How many of these two types of figures can be placed in the $8 \times 14$ large rectangular grid at most? $\qquad$
In an $8 \times 14$ large rectangular grid, there are $9 \times 15=135$ grid points;
and whether it is an "L" shape or a "straight line" shape, each has 8 grid points; $135 \div 8=16 \cdots \cdots 7$
Therefore, in an $8 \times 14$ large rectangular grid, the number of both types of shapes that can be placed does not exceed 16.
On the other hand, an example of placing 16 can be constructed (the construction method is not unique).

In summary, in an $8 \times 14$ large rectangular grid, the maximum number of both types of shapes that can be placed is 16.