*

to reach, beyond the central target of families with children, etc.

with children

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Note added at 2004-10-27 06:26:14 (GMT)
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reaches not only families, which are its number one target but also a wider public

This is quite similar to Marie's answer, but I have often seen and used core target.

Example from an article on Defining a Target Audience for Search Engine Marketing
"If you focus on secondary demographics, you will do nothing more than dilute your complete online marketing potential. Of course, there are secondary demographics in every industry. Ignore them for the purpose of defining your target audience. The goal here is to define the core group in which your site and consequential marketing efforts will revolve around. Bear in mind, the only way to develop effective consumer communications is to become knowledgeable about your ***core target.***