In the April 2006 General Conference of the Church, President Gordon B. Hinckley gave a talk called “The Need for Greater Kindness”. It included the following comments:
“Racial strife still lifts its ugly head. I am advised that even right here among us there is some of this. I cannot understand how it can be. It seemed to me that we all rejoiced in the 1978 revelation given President Kimball. I was there in the temple at the time that that happened. There was no doubt in my mind or in the minds of my associates that what was revealed was the mind and the will of the Lord.
Now I am told that racial slurs and denigrating remarks are sometimes heard among us. I remind you that no man who makes disparaging remarks concerning those of another race can consider himself a true disciple of Christ. Nor can he consider himself to be in harmony with the teachings of the Church of Christ. How can any man holding the Melchizedek Priesthood arrogantly assume that he is eligible for the priesthood whereas another who lives a righteous life but whose skin is of a different color is ineligible?
Throughout my service as a member of the First Presidency, I have recognized and spoken a number of times on the diversity we see in our society. It is all about us, and we must make an effort to accommodate that diversity.
Let us all recognize that each of us is a son or daughter of our Father in Heaven, who loves all of His children.
Brethren, there is no basis for racial hatred among the priesthood of this Church. If any within the sound of my voice is inclined to indulge in this, then let him go before the Lord and ask for forgiveness and be no more involved in such.”
See a related article by Margaret Young at Common Consent