Read analog Inputs via I2C Connection

I agree with PaulS.

Could you try this and see how far you get?

volatile int16_t data[16];

void loop()
{
  for( int i = 0; i<16; i++)
  {
    data[i] = analogRead( A0 + i);
  }
}

void sendAnalogReading()
{
  Wire.write( (uint8_t *) data, sizeof( data));
}

Or perhaps this:

volatile int16_t data[16];

void loop()
{
  int16_t temporary[16];
  for( int i=0; i<16; i++)
  {
    temporary[i] = analogRead( A0 + i);
  }
  noInterrupts();
  memcpy( (void *) data, temporary, sizeof( data));
  interrupts();
}

void sendAnalogReading()
{
  Wire.write( (uint8_t *) data, sizeof( data));
}