Solutions :

3-letter words (1 point): 39

ANE; ANI; AUE; CEE; CIT; EAN; EAU; EEN; ENE; ERR; HEN; HER; HUE; HUI; ICE; IRE; JEU; JUN; NAE; NEE; NET; NIE; NIT; NIX; REH; REI; REN; RIN; RIT; RUE; TEC; TEE; TEN; TIC; TIE; TIN; TIX; UNI; URE.

4-letter words (1 point): 28

AUNE; CINE; CITE; EINA; EINE; ETIC; HEIR; HUER; IURE; JEHU; JURE; NICE; NITE; REIN; RICE; RINE; RITE; RUIN; TEEN; TENE; TICE; TIER; TINE; TIRE; TIRR; TRIE; TRIN; UNIT.

5-letter words (2 points): 14

CIRRI; CTENE; JEUNE; TEENE; TENUE; TINEA; TRICE; TRIER; TRINE; UNITE; UREIC; URENA; URINE; URITE.

6-letter words (3 points): 11

ANETIC; CITRIN; ETRIER; HEINIE; INJURE; IRENIC; NERITE; NITRIC; TEENER; TINIER; TRIENE.

7-letter words (7 points): 6

CITRINE; ERINITE; NERITIC; NEURITE; REUNITE; TEENIER.

8-letter word (11 points): 1

NEURITIC.