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The following gets at least pretty close to what you described. Some notes...
* This is specific to 6/5/6 & 6/5/6. It can easily enough be adjusted to another configuration, but I am just posting the one version for now.
* Season starts on Wednesday because having an initial 2-game interleague series block there helped fill in the layout with all interleague opponents being played while still 3-4 series per division opponent and 2 series per other intraleague opponent.
* All-Star Game falls Jun30-Jul6, obviously depending on the start date.
* Season ends within a few days on either side of Oct1. Up to your playoffs whether that can complete by Oct31.
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