Can Glean Spell cast anything 6th level?

[AlgaeNymph]

From p.85 of the Core Rulebook:

Glean Spell wrote:

Once per day, you can delve into the Akashic Record to cast a spell from either the mystic or technomancer spell list as if it were on your list of spells known. The spell consumes a spell slot 1 level higher than the level of the spell.

Does this include 6th level spells? I'm guessing not, but I'd like confirmation.

[Deadmanwalking]

You could pick one, but couldn't cast it since you lack 7th level spell slots to do so with.