Clear a few bandit camps and loot the weapons.
Visit court mages and the College, buy up all filled petty, lesser and common gems.
If you don't already know Absorb Health, Fear or Banish Daedra enchants, visit blacksmiths until you find one.
Enchant and sell the weapons, and do it again

You actually level it up more when you enchant weapons, armor, etc.
It all depends on the price of the item. Disenchanting a 2000g item gives you much more progress than making a 200g enchant.