According to the standard convention for exponentiation,$$
2^{2^{2^{2}}}=2^{\left(2^{\left(2^{2}\right)}\right)}=2^{16}=65,536 .
If the order in which the exponentiations are performed is changed, how many other values are possible?
**Answer Choices**
A. $0$
B. $1$
C. $2$
D. $3$
E. $4$