SOA = Safe Operating Area - see the graph on the MOSFET datasheet of load voltage against current - there will be contours for various
pulse widths on the graph (figure 8 on the one you posted).
It looks like you won't be able to switch more than 7V at 60A from the datasheet, the 300ms contour is about identical to DC.
The MOSFET driver is very powerful (which will help of course by reducing switching transition time). However the driver will
need thorough decoupling right at the chip and the connections between it and the MOSFET gate/source will absolutely
need to be very low inductance or you won't get the benefit. The wiring between the two must be short and thick and must
be separate from the main (60A) current path to the MOSFET's source lead.