10. On the blackboard, there is an arithmetic sequence:
$$
2,5,8,11,14,17,20,23, \cdots, 50,53,56,59
$$

The teacher starts from the left, crosses out the 4th number, the 8th number, the 12th number, etc., leaving:
$$
2,5,8,14,17,20,26, \cdots, 50,53,56
$$

Then, the teacher multiplies adjacent pairs of numbers, resulting in:
$$
2 \times 5,5 \times 8,8 \times 14,14 \times 17, \cdots, 50 \times 53,53 \times 56 \text {. }
$$

Adding up all the products of these multiplication expressions, the result is $\qquad$
$15338$