Stabilizer for embroidery


I have the Janome 12000 and have only done small embroider projects.  I have a design that is 37000+ stitches, 7.8 x 7.8 size.  I will use the SQ23 hoop and embroider on Kona cotton.  The design will be made into a throw pillow.  Which stabilizer should I use to support all the stitches?  

Thanks for any advice.


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