  We study a current shot noise in a macroscopic insulator based on a
two-dimensional electron system in GaAs in a variable range hopping (VRH)
regime. At low temperature and in a sufficiently depleted sample a shot noise
close to a full Poissonian value is measured. This suggests an observation of a
finite-size effect in shot noise in the VRH conduction and demonstrates a
possibility of accurate quasiparticle charge measurements in the insulating
regime.
