Hi, Aniket,

From above timing, you can use spi interface of LPC1769 as master to access the xpt2046. You can use the byte length to write and read. If you use Busy signal, you can connect the Busy to a GPIO, you can read the logic of Busy, after it becomes low, you can write the spi transmit register to launch transfer so that you can read the ADC sample.
Hope it can help you
BR
XiangJun Rong