4. Given the sequence $\left\{a_{n}\right\}$ composed of positive integers, and it is an increasing sequence, with
$$
a_{n+2}=a_{n+1}+2 a_{n}\left(n \in \mathbf{Z}_{+}\right) \text {. }
$$

If $a_{5}=52$, then $a_{7}=(\quad)$.
(A) 102
(B) 152
(C) 212
(D) 272