Try this one.....

3 lbs small whole beets
2 cups pickling vinegar
1/2 cup sugar
1 cup water
1 TSP whole allspice
6 whole cloves
3 inches cinnamon

Wash beets, leaving on root and 1 inch of tops. Cover beets with boiling water; simmer 25 minutes. Drain. Slip off skins and trim beets.
In large kettle combine vinegar, water, and suger. Tie allspice, cloves, and cinnamon in cheesecloth bag. Add spice bag to pickling liquid. Bring to boil; simmer 15 minutes. Pack beets into hot jars, leaving 1/2 inch head space. Cover beets with pickling liquid, leaving 1/2 inch headspace. Adjust lids. Process in boiling water bath(half pints) 30 minutes. Makess 3 halfpints. Double recipe if you like.
Good luck.

Ron