Given that the entropy change from one mole of an solid allotrope (diamond) into one mole of another solid allotrope solid (graphite) is bound to be very small, the enthalpy change alone can be taken as a predictor of the direction of spontaneous change. However, although calculations will show that graphite is thermodynamically more stable than diamond this has no bearing on the kinetics of the process.
Diamond is thermochemically unstable relative to graphite, but is kinetically stable nevertheless.