We investigate a tadpole-improved tree-level-O(a(3))-accurate action,
D234c, on coarse lattices, using the mean link in Landau gauge to meas
ure the tadpole contribution. We find that D234e shows much better rot
ational invariance than Sheikholeslami-Wohlert, and that mean-link tad
pole improvement gives much better hadron mass scaling than plaquette
tadpole improvement, with finite-a errors at 0.25 fm of only a few per
cent. We explore the effects of possible O(a(s)) changes to the improv
ement coefficients, and find that the two leading coefficients can be
independently tuned: hadron masses are only sensitive to the clover co
efficient C-F, while hadron dispersion relations are only sensitive to
the third derivative coefficient C-3. Preliminary non-perturbative tu
ning of these coefficients yields values that are consistent with the
expected size of perturbative corrections.