"
26 4+-character hexwords, sorted on their decimal equivalents' digital roots:

Word       Decimal      Root
----------------------------
ababa       703162        1
abbe         43966        1
dada         56026        1
deaf         57007        1
decade    14600926        1
cede         52958        2
feed         65261        2
abed         44013        3
added       712173        3
bade         47838        3
beebe       782014        4
decca       912586        4
dade         56030        5
bead         48813        6
deface    14613198        6
babe         47806        7
fade         64222        7
dead         57005        8
efface    15727310        8
facade    16435934        8
accede    11325150        9
beef         48879        9
cafe         51966        9
dacca       896202        9
deed         57069        9
face         64206        9

The 13 with at least 4 /different/ characters, reverse sorted on their decimal equivalents:

Word       Decimal      Root
----------------------------
facade    16435934        8
efface    15727310        8
deface    14613198        6
decade    14600926        1
accede    11325150        9
decca       912586        4
fade         64222        7
face         64206        9
deaf         57007        1
cafe         51966        9
bead         48813        6
bade         47838        3
abed         44013        3"