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If I understand you correctly, you have an existing half-tone pattern, and you want to come up with some procedure by which you can modify it so that the largest circles don't touch at all. 

My suggestion is that instead of starting with an existing half-tone pattern, you simply start with a half-tone generation program that allows you to do modify the max and min sizes of the dots to be whatever you want.  VanDerLee's program, "Half Tone" does exactly this.  First, a screenshot of some of the many adjustable parameters  available to a user.

[ATTACH]53569[/ATTACH]

Next, the results of slightly adjusting the sliders shown in the previous screen shot:

[ATTACH]53567[/ATTACH]

HTH,

Tom M