The operation to search for should be "Delete group.", note the dot is mandatory as detailed in the official documentation: https://learn.microsoft.com/en-us/microsoft-365/compliance/search-the-audit-log-in-security-and-compliance?view=o365-worldwide#azure-ad-group-administration-activities
As for limiting the range to 30 days, simply adjust your start date value:
Search-UnifiedAuditLog -EndDate (Get-Date) -StartDate (Get-Date).AddDays(-30) -Operations "Delete Group." | export-csv c:\temp\logs.csv -NotTypeinformation
Alternatively, you can narrow the search down by the Group's objectID (-ObjectIds parameter). Or if you don't have the objectId, a free-text search based on the group's name:
Search-UnifiedAuditLog -EndDate (Get-Date) -StartDate (Get-Date).AddDays(-30) -FreeText groupname