"When Jesus told them that He was to be put to death and to rise again, He was trying to draw them into conversation in regard to the great test of their faith. Had they been ready to receive what He desired to make known to them, they would have been saved bitter anguish and despair. His words would have brought consolation in the hour of bereavement and disappointment. But although He had spoken so plainly of what awaited Him, His mention of the fact that He was soon to go to Jerusalem again kindled their hope that the kingdom was about to be set up. This had led to questioning as to who should fill the highest offices. On Peter's return from the sea, the disciples told him of the Saviour's question, and at last one ventured to ask Jesus, “Who is the greatest in the kingdom of heaven?” DA 435.1"
"From that time forth began Jesus to shew unto his disciples, how that he must go unto Jerusalem, and suffer many things of the elders and chief priests and scribes, and be killed, and be raised again the third day. Then Peter took him, and began to rebuke him, saying, Be it far from thee, Lord: this shall not be unto thee. But he turned, and said unto Peter, Get thee behind me, Satan: thou art an offence unto me: for thou savourest not the things that be of God, but those that be of men."
EGW's passage discusses the disciples' misunderstanding of Jesus's impending death and resurrection, and their subsequent preoccupation with status, which is directly related to the events in Matthew 16:21-23 and surrounding verses. While not a direct quote, the themes and context align strongly.
"High” ( Isaiah 14:12, 14 ); and the desire for self-exaltation had brought strife into the heavenly courts, and had banished a multitude of the hosts of God. Had Lucifer really desired to be like the Most High, he would never have deserted his appointed place in heaven; for the spirit of the Most High is manifested in unselfish ministry. Lucifer desired God's power, but not His character. He sought for himself the highest place, and every being who is actuated by his spirit will do the same. Thus alienation, discord, and strife will be inevitable. Dominion becomes the prize of the strongest. The kingdom of Satan is a kingdom of force; every individual regards every other as an obstacle in the way of his own advancement, or a steppingstone on which he himself may climb to a higher place. DA 435.2"
"How art thou fallen from heaven, O Lucifer, son of the morning! how art thou cut down to the ground, which didst weaken the nations! For thou hast said in thine heart, I will ascend into heaven, I will exalt my throne above the stars of God: I will sit also upon the mount of the congregation, in the sides of the north: I will ascend above the heights of the clouds; I will be like the most High."
EGW directly quotes and interprets Isaiah 14:12-14, connecting it to Lucifer's desire for self-exaltation and the resulting strife in heaven.