How to modify or create a wider UTM zone?

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am working on a project to do country-wide mapping using projected coordinate system such UTM. However, the country (Zambia) is covered by three UTM zones, namely zone 34,35 and 36.I have read literature on possibility of widening UTM zones and the resulting worsening of errors. My concern is on how to modify UTM zones to cover as much as 12 degrees of longitude in one zone. The central meridian will of course be moved to the center.



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