I'd try hand washing it in a bucket with some MF wash first. I personally wouldn't want all that oil running through my washing machine. Try to get as much off as you can, then run it through the wash with some MF wash.
'11 BMW E92 ///M3 - ZCP and DCT
'15 Ford F-250 - Lariat, 6.7 Powerstroke Turbo-diesel