Bring apricots, sugar, honey, lemon juice, ginger and zest to a simmer, stirring often. Wrap lavender in a piece of cheesecloth and add to simmering fruit, cooking for about 8 minutes.
Remove lavender and stir in pectin.
Remove from heat and jar according to proper canning procedures, or pack in containers and refrigerate.
Once opened, preserves will keep refrigerated up to 4 months.
Preserve can be used as a jam on toast, or is delicious served with cheeses after a meal.