If you mean words with the number "teen" in them:
* Seventeen (has a short "e")
* Eighteen (has a short "e")
* Nineteen (has a short "i")
If you mean any word with seven letters:
* seven (has a short "e")
* beach (has a short "e")
* bread (has a short "e")
* chair (has a short "a")
* grape (has a short "a")
* train (has a short "a")
It's impossible to pick seven teen words with short vowels, since there aren't enough that fit both criteria. Let me know if you have any other word puzzle ideas!