Preheat the oven to 120 degrees C (about 250 degrees F).
Heat a frying pan over medium heat and add oil. Saute carrots, shallots, mushrooms and garlic until they become soft around the edges, about 2 minutes, then add paprika, nutmeg and 4 grams salt. Cook for 30 seconds, then add BBQ sauce and Worcestershire. Remove from heat and let cool.
Meanwhile, mix cream, eggs and remaining 14 grams salt in a bowl until they are a uniform color. Add the bread and allow to soak for around 15 minutes, then blend in a blender (it can still be a bit chunky, but not large pieces). Mix in the meats, then the veg until it looks uniform and is slightly tacky when touched. Line a loaf pan with parchment paper and put mixture into the pan. Bang it on the counter a couple times to ensure that it makes it to the corners. Bake until its internal temperature registers 70 degrees C (about 160 degrees F) on an instant-read thermometer, about 1 hour 30 minutes. Can be served immediately, but for best results allow to cool overnight, then slice and reheat slices in a pan with a little oil.
This recipe was provided by a chef, restaurant or culinary professional. It has not been tested for home use.