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We consider the Gierer-Meinhardt system with small inhibitor diffusivity,very small activator diffusivity and a precursor inhomogeneity.  For any given positive integer k we construct a spike cluster consisting of$k$ spikes which all approach the same nondegenerate local minimum point of theprecursor inhomogeneity. We show that this spike cluster can be linearlystable. In particular, we show the existence of spike clusters for spikeslocated at the vertices of a polygon with or without centre. Further, thecluster without centre is stable for up to three spikes, whereas the clusterwith centre is stable for up to six spikes.  The main idea underpinning these stable spike clusters is the following: dueto the small inhibitor diffusivity the interaction between spikes is repulsive,and the spikes are attracted towards the local minimum point of the precursorinhomogeneity. Combining these two effects can lead to an equilibrium of spikepositions within the cluster such that the cluster is linearly stable.

Stable spike clusters for the precursor Gierer-Meinhardt system in R2