#include <Arduino.h>  // for type definitions

template <typename T> void PROGMEM_readAnything (const T * sce, T& dest)
  {
  memcpy_P (&dest, sce, sizeof (T));
  }

template <typename T> T PROGMEM_getAnything (const T * sce)
  {
  static T temp;
  memcpy_P (&temp, sce, sizeof (T));
  return temp;
  }

#include <Arduino.h>  // for type definitions

template <typename T> void PROGMEM_readAnything (const T * sce, T& dest)
  {
  memcpy_P (&dest, sce, sizeof (T));
  }

template <typename T> T PROGMEM_getAnything (const T * sce)
  {
  static T temp;
  memcpy_P (&temp, sce, sizeof (T));
  return temp;
  }

#include <PROGMEM_readAnything.h>

struct SimulatorRecord
{
  uint8_t iSensorNumber;
  unsigned long lTriggerTime;
  uint8_t iState;
};

const SimulatorRecord SimulatorQueue[28] PROGMEM = {
      { 1, 41708, 1 }
      , { 2, 60692, 1 }
      , { 1, 176848, 0 }
      , { 2, 197732, 0 }
      , { 1, 4675580, 1 }
      , { 2, 4692252, 1 }
      , { 2, 4830180, 0 }
      , { 1, 4849032, 0 }
      , { 2, 9058416, 1 }
      , { 1, 9074780, 1 }
      , { 1, 9215868, 0 }
      , { 2, 9234968, 0 }
      , { 2, 13497276, 1 }
      , { 2, 13500924, 0 }
      , { 2, 13502728, 1 }
      , { 1, 13514992, 1 }
      , { 1, 13668000, 0 }
      , { 1, 13669344, 1 }
      , { 1, 13681828, 0 }
      , { 2, 13701464, 0 }
      , { 2, 18028788, 1 }
      , { 2, 18034252, 0 }
      , { 2, 18036540, 1 }
      , { 1, 18046892, 1 }
      , { 2, 18160312, 0 }
      , { 1, 18178224, 0 }
      , { 1, 20454580, 1 }
      , { 1, 20456368, 0 }
   };

// number of items in an array
template< typename T, size_t N > size_t ArraySize (T (&) [N]){ return N; }

void setup ()
{
  Serial.begin (115200);
  Serial.println ();

  for (int i = 0; i < ArraySize (SimulatorQueue); i++)
    {
    SimulatorRecord thisItem;
    PROGMEM_readAnything (&SimulatorQueue [i], thisItem);
    Serial.print (i);
    Serial.print (F(" = "));
    Serial.print (thisItem.iSensorNumber);
    Serial.print (F(" / "));
    Serial.print (thisItem.lTriggerTime);
    Serial.print (F(" / "));
    Serial.print (thisItem.iState);
    Serial.println ();
    }  // end of for loop
}  // end of setup

void loop ()
{
}  // end of loop

#include <PROGMEM_readAnything.h>

struct SimulatorRecord
{
  uint8_t iSensorNumber;
  unsigned long lTriggerTime;
  uint8_t iState;
};

const SimulatorRecord SimulatorQueue[28] PROGMEM = {
      { 1, 41708, 1 }
      , { 2, 60692, 1 }
      , { 1, 176848, 0 }
 //    ...   omitted for brevity
      , { 1, 18178224, 0 }
      , { 1, 20454580, 1 }
      , { 1, 20456368, 0 }
   };

// number of items in an array
template< typename T, size_t N > size_t ArraySize (T (&) [N]){ return N; }

void setup ()
{
  Serial.begin (115200);
  Serial.println ();

  for (int i = 0; i < ArraySize (SimulatorQueue); i++)
    {
    SimulatorRecord thisItem;
    PROGMEM_readAnything (&SimulatorQueue [i], thisItem);
    Serial.print (i);
    Serial.print (F(" = "));
    Serial.print (thisItem.iSensorNumber);
    Serial.print (F(" / "));
    Serial.print (thisItem.lTriggerTime);
    Serial.print (F(" / "));
    Serial.print (thisItem.iState);
    Serial.println ();
    }  // end of for loop
}  // end of setup

void loop ()
{
}  // end of loop

Putting constant data into program memory (PROGMEM)

Putting PROGMEM into a class

In response to some comments below, this explains how to put the constants into a class.

Alex originally had:

class SimulatorClass
{

...

   typedef struct SimulatorRecord
   {
      uint8_t iSensorNumber;
      unsigned long lTriggerTime;
      uint8_t iState;
   } SimulatorRecord;

   constexpr static SimulatorRecord SimulatorQueue[28] PROGMEM = {
      { 1, 41708, 1 }
      , { 2, 60692, 1 }
   //    ...   omitted for brevity
      , { 1, 20454580, 1 }
      , { 1, 20456368, 0 }
   };

   SimulatorRecord PendingRecord;
};

Putting aside whatever "constexpr" is, you can't put constants inside a class like that. You need to make it static, and have the actual definition elsewhere. So, change the constants to:

class SimulatorClass
{

...

   typedef struct SimulatorRecord
   {
      uint8_t iSensorNumber;
      unsigned long lTriggerTime;
      uint8_t iState;
   } SimulatorRecord;

  static const SimulatorRecord SimulatorQueue[28] PROGMEM ;

  SimulatorRecord PendingRecord;
};

Now in your main class file (Simulator.cpp in your case):

 const SimulatorClass::SimulatorRecord SimulatorClass::SimulatorQueue[28] PROGMEM = {
    { 1, 41708, 1 }
    , { 2, 60692, 1 }
   //    ...   omitted for brevity
    , { 1, 20454580, 1 }
    , { 1, 20456368, 0 }
   };

That now compiles OK.