3-4 point joseki - wide double-pincer
That should be simple - don't play at 14 in your final diagram. Instead, try this:

$$Bm7
$$ . . . . . . . . . . . |
$$ . . . . . . . . . . . |
$$ . . . . . . . . . . . |
$$ . . . . . . . . . . . |
$$ . . . . . . . . O . . |
$$ . . . . . . . B . . . |
$$ . . . . . . . 7 X 5 . |
$$ . . X . 8 . O 3 O 1 . |
$$ . . . . . . . 6 4 2 . |
$$ . . . . . . . . . . . |
$$ ----------------------


Note how white is alive, while black has an empty triangle, a bad shape in this case. It is not easy for black to attack the white stone on the right side. For instance: 

$$
$$ . . . . . . . . . . . |
$$ . . . . . . . . . . . |
$$ . . . . . . . . 1 . . |
$$ . . . . . . . . . . . |
$$ . . . . . . . 2 O . . |
$$ . . . . . . . X . . . |
$$ . . . . . . . X X X . |
$$ . . X . O . O X O X . |
$$ . . . . . . . O O O . |
$$ . . . . . . . . . . . |
$$ ----------------------


If B1, white can split at 2. If B1 at 2, white can move fluently to the right side by playing at 1 herself. In the meantime, black has no eyes yet.

In the original diagram, B13 might be a bad move. I don't know this joseki, but I'd guess black should try something else instead, possibly before 13.