It's unlikely that a circuit designed for 2.4A will survive running at 6A. There are several components that would not likely survive - the main power transistor (whether discrete or integrated), the diode (which I can see, is a 3A diode), the inductor...
I would recommend starting with a beefier driver, or using multiples.
But if you really want to try, the resistors in the middle marked R430 and R270 are the sense resistors, as Leaftye says. You need to have a lower value. What we can see are a 0.43 and 0.27 ohm in parallel, but it looks like there are more beneath. You want to replace with lower values, or just add some more.
As you reduce the overall sense resistance, the current goes up proportionally to the inverse of the resistance. So does the power dissipation in the total sense resistance. The power dissipation in other things goes up MORE than proportionally. In the diode it goes up as the 1.2 or 1.3 power of the current, in the FET and the inductor it goes up as the square of the current. (6/2.4)^2 = 6.25 times the power!