These are all the spells that RUN can use at launch by level:
Level 4: Barstone
Level 6: Barsleep
Level 8: Barwater
Level 9: Barpoison
Level 10: Shell
Level 11: Barparalyze
Level 12: Aquaveil, Baraero
Level 16: Barfire
Level 17: Barblind
Level 20: Barblizzard, Protect
Level 23: Regen
Level 24: Barthunder
Level 30: Shell II
Level 35: Blink
Level 38: Barvirus
Level 40: Protect II
Level 42: Barpetrify
Level 45: Flash, Blaze Spikes
Level 48: Regen II
Level 50: Shell III
Level 55: Stoneskin
Level 58: Foil
Level 60: Protect III
Level 62: Refresh
Level 65: Ice Spikes
Level 68: Phalanx
Level 70: Regen III, Shell IV
Level 76: Baramnesia
Level 80: Protect IV
Level 85: Shock Spikes
Level 90: Shell V
Level 99: Regen IV
Oddly no barsilence though.