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The default maps Filled Map and Globe Map support UK post codes through Bing Map geocoding I believe. Your best bets around what you are specifically looking to do would be to probably use Shape Map and the new ArcGIS Esri map. Shape Map lets you define your own shapes to fill in. ArcGIS Esri maps are highly functional but they are in preview in Power BI so the specific functionality may not be there yet.
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