To automatically kern text above a specific point size, display the Character pane of the Preferences dialog box (QuarkXPress/Edit menu), check Auto Kern Above, and enter a value in the field.

QuarkXPress uses kerning information that is built into the font (the font’s kerning table). A kerning table contains a number of character pairs — “Ta,” for example — and an associated kerning value for each pair in the table. You can’t change a font’s kerning table, but you can create a custom kerning table for any font using the Kerning Table Edit dialog box (Utilities menu). You can use this dialog box to customize both horizontal (With-Stream) and vertical (Cross-Stream) space in kerning pairs.

You can create your own kerning tables in QuarkXPress.