Cut beans into lengths to fit jars upright.
Transfer to medium saucepan, cover with boiling water and cook over medium-high heat 3 minutes.
Pack tightly into hot sterilized jars.
Divide dillweed among jars.
Combine remaining ingredients in medium saucepan and bring to boil over medium-high heat.
Pour into jars to within 1/2 inch of top.
Seal and process 10 minutes in boiling water bath.
Remove from water and let cool completely.
Test for seal.
Store in cool dark place.
Refrigerate after opening.