【Analysis and Solution】
Arithmetic sequence.
The sum of five consecutive even numbers $=$ the middle number $\times 5$;
Since the sum of these five consecutive even numbers is a multiple of 7;
Therefore, the middle term is a multiple of 7;
The smallest number that is both even and a multiple of 7 is $7 \times 2=14$
So the middle term is at least 14;
The minimum sum of these five numbers equals $14 \times 5=70$.
【Question 14】  
The sum of five consecutive even numbers is a multiple of 7. The smallest sum of these five numbers is $\qquad$.