I tried to convert each word on the Unix wordlist (/usr/share/dict/words) into a pattern that shows how long it is and which letters repeat where. Examples: trek → ABCD, eerie → AABCA.
The most common pattern with n repeating letters:
n≥0: ABCDEF (3545 words): e.g. abduct, abrupt, absent, ...
n≥1: ABCCDEF (694 words): e.g. battery, buffalo, burrito, ...
n≥2: ABCCBDE (131 words): e.g. ballast, billion, cabbage, ...
n≥3: ABCDEFFEF (15 words): e.g. actresses, conferrer, confesses, ...
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I also found a typo on the wordlist: "analyticalally".

#language

Sets of seven anagrams:
- aster, rates, stare, tares, taser, tears, treas
- carets, caster, caters, crates, reacts, recast, traces
- pares, parse, pears, rapes, reaps, spare, spear.
13-letter anagrams with no shared substrings longer than three letters: antiparticles, paternalistic.

#anagram

the longest word that can be written on the NES Game Genie