Checked each race and sex for max height: (in inches)
male, then female listed
71.6 67.1 Hyur
82.6 78.1 Elezen
38.2 38.2 Lalafel
68.2 63.8 Miqo'te
90.7 87.7 Roegadyn
85.4 62.4 Au Ra
Female Roegadyn are taller than any males except their own race
Au Ra Females are shorter than all but Lalafel (but almost identical to Miqo'te females)
Au Ra males are taller than Elezen, but shorter than Roegadyn