The present disclosure relates to an apparatus comprising a substrate, wherein a MEMS module is arranged on a first side of the substrate, the output signal from said MEMS module changing in the event of a change in temperature. Furthermore, the apparatus has a housing structure which is arranged on a first side of the substrate and has a recess in which the MEMS module is arranged. The apparatus also has a layer which is applied to the housing structure and increases the heat capacity of the apparatus. The present disclosure also relates to a method for producing an apparatus of this kind.