Most triangles formed by three triangles

This might not be optimal, but its the best one I could find:

here are some of the triangles highlighted for clarity

Every larger distinct triangle has a side with a different colour and a number adjacent to that triangle. The smaller distinct triangles have a number inside them, except in cases where the triangle is very small, in which case the number is adjacent to the triangle. The three overlapping triangles generate twenty-four distinct triangles.