Meanings of distant hauteur in English

So, taking one graceful step toward the door, Carlisle said, with a sufficiency of distant hauteur:

She wished him "Good evening" in a tone of distant hauteur, and led the way to the door.

Towards every one, excepting the children, whom he treated with almost reverent tenderness, he adopted an attitude of distant hauteur.

They manoeuvred jerkily past the table where Miss Mabel Hobson, the Flower Garden's newest "hostess," sat watching the revels with a distant hauteur.