14. (12 points) As shown in the figure, a piece of grassland has been cultivated into 11 hexagonal plots. Feifei plants 4 types of plants: sunflowers, pea shooters, shockweeds, and ice melons in these plots. If adjacent plots cannot have the same type of plant, how many different planting methods does she have? (Adjacent plots are those sharing a common side, and only one type of plant can be planted in each plot.)
A. 6912
B. 6144
C. 4608
D. 4224
【Solution】Solution: As shown in the figure,
it is found that the key is the shaded hexagon, after selecting the middle part in $\mathrm{C}_{4}^{1}=4$ ways, there are 3 types of plants around, $3 \times 2^{5}-(A, F$ being the same color, equivalent to 5 arranged in a circle), 5 arranged in a circle $=3 \times 2^{4}-$ (4 arranged in a circle), 4 arranged in a circle $=3 \times 2^{3}-$ (3 arranged in a circle), 3 arranged in a circle $=3 \times 2 \times 1=6$, the middle circle $3 \times 2^{5} \times\left[3 \times 2^{4}-\left(3 \times 2^{3}-3 \times 2 \times 1\right)\right]$ $=66$,

Therefore, the total is $4 \times 66 \times 2^{4}=4224$ (ways).
Hence, the correct choice is: D.