Tabs style

[APerricone]

Hi, I am using a TabControl in my application, I want to add a save icon on right for close the tab, How is it possible?

I am using this code

<TabItem x:Name="newFilter">
    <TabItem.Header>
        <Grid>
            <Grid.ColumnDefinitions>
                <ColumnDefinition Width="*" />
                <ColumnDefinition Width="auto" />
            </Grid.ColumnDefinitions>
            <TextBlock Text="{Binding name}" />
            <ui:SymbolIcon Symbol="Save24" Visibility="{Binding unsaved, Converter={StaticResource boolToVis}}" MouseUp="SymbolIcon_Click" Grid.Column="1"/>
        </Grid>
    </TabItem.Header>
</TabItem>

Why it is attached?

Another question... how can I avoid to make it in more row when they are more?