A stack of semiconductor chips includes a substrate or an interposer board comprising conductor structures for electrical connection of the stack and a first chip. The first chip includes an active side with peripherally arranged bonding pads and is mounted face-up on the substrate or the interposer board. The stack beyond includes at least a further chip with peripherally arranged bonding pads on its active side. The back side and at least two chip edges of the further chip are embedded by a mold cap providing a protuberance on the back side of the chip. The protuberance forms a planar surface extending substantially parallel and with a distance to the back side of the chip. The further chip is attached face-up to the active side of the first chip by an adhesive applied between the protuberance and the first chip so that the protuberance is inserted between both chips to provide a gap there. The protuberance has at least one linear dimension that is smaller than a linear dimension of the subjacent chip.