Char the veggies. Lay a large piece of foil over the grates of a gas grill. Fold up the edges and corners slightly to keep the juices from dripping into the fire. Place the halved tomatoes edge to edge in rows on the foil. Turn on the burners (I usually start on high heat until the tomatoes begin cooking, then turn it down to medium-low.) Add the peppers in a row around the foil. Keep the lid up on the grill.
As the peppers begin to char, turn them over with tongs to get a good char on all sides, then remove them to a bowl and allow to cool.
Keep cooking the tomatoes until they are charred on the bottom and pretty soft but not mushy. Turn off the heat and allow to sit for 5-10 minutes. Resting them helps to release the bottoms from the foil, allowing you to pick them up off the foil without leaving the char behind.
While the tomatoes are resting, remove the stems from the peppers and put half of them into a blender container. After 5-10 minutes, carefully remove half of the tomatoes to the blender. Add a teaspoon of salt and blend at low speed until everything is well incorporated.
Pour into a large pot if you plan to process for storage, then blend the other half. (If you don’t plan to process, just pour into a bowl and serve.)