Wpf – Let WPF Tabcontrol height assume height of largest item

Is there any way to have to tabcontrol take the size of the largest tab item (well, actually, the tabitem's content)?

Since the tabcontrol has no specific size assigned it should autosize: it does that correctly, but when you switch tabs it automatically resizes itself to the height (and width) of the contents of the currently selected tab.

I don't want the resizing to happen, and let the tabcontrol assume the height of the largest item, but still have it autosize itself.

Any clues? I tried databinding to the Height property of each element used as content to the using a multibinding, with bindings on both the ActualHeight and the Items properties of the Tabcontrol. But alas, the ActualHeight of the content elements is always 0.

        <TabItem Header="Core" > 
            <Grid Margin="5">
                <Grid.Height>
                    <MultiBinding Converter="{Converters1:AllTabContentEqualHeightConverter}">
                        <Binding Path="ActualHeight" RelativeSource="{RelativeSource Mode=FindAncestor, AncestorType={x:Type TabControl}}"/>
                        <Binding Path="Items" RelativeSource="{RelativeSource Mode=FindAncestor, AncestorType={x:Type TabControl}}"/>
                    </MultiBinding>
                </Grid.Height>

            ...

Can this be done?