When I configure a K02 in Processor Expert to run at full speed, the generated system_MK02F12810.h has this:
#define SYSTEM_SMC_PMPROT_VALUE 0x00U
Unless there's Errata that I'm unfamiliar with that this is trying to correct for, this should be changed, as it prevents Processor Expert projects to target the K02 running in HS mode (or any of the low power modes).
It should be set to 0xAA:
#define SYSTEM_SMC_PMPROT_VALUE 0xAAU