14. (3 points) There is a basket of peaches, when counted 4 at a time, 2 are left; when counted 6 at a time, 4 are left; when counted 8 at a time, 2 are short. It is known that the number of peaches is no less than 120 and no more than 150, there are $\qquad$ in total.
【Analysis】It can be seen as counting 4 by 4, 2 less; counting 6 by 6, 2 less; counting 8 by 8, also 2 less. That is, the common multiple of $4, 6, 8$ minus 2.
$[4, 6, 8]=24$. It can be written as $24x-2, 120<24x-2<150$. $x$ is an integer, $x=6$. The basket of peaches has a total of $24 \times 6-2$, which can be calculated.

【Solution】Solution: $[4, 6, 8]=24$.
The number of peaches in the basket can be written as $24x-2$,
$$
120<24x-2<150.
$$
$x$ is an integer, so $x=6$,
The basket of peaches has a total of: $24 \times 6-2=142$ (peaches).
Answer: The basket of peaches has a total of 142 peaches.
Therefore, the answer is: 142.