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The Collaborative International Dictionary
Superstruct

Superstruct \Su`per*struct"\, v. t. [L. superstructus, p. p. of superstruere to build upon; super over + struere to build. See Super-, and Structure.] To build over or upon another structure; to erect upon a foundation.

This is the only proper basis on which to superstruct first innocency and then virtue.
--Dr. H. More.

Wiktionary
superstruct

vb. To build over or upon (another structure); to erect upon (a foundation).