For a discussion of the differences in the Gospel accounts of this episode, see Byron R. McCane, Roll Back the Stone, Death and Burial in the World of Jesus (Harrisburg, PA: Trinity Press International, 2003), pp. 101-102. Here I focus on the accounts of Mark and Matthew, which are generally considered to be earlier and more accurate than Luke. The differences between Mark and Matthew include that Joseph is described as a member of the council/Sanhedrin (Mark) or as a rich man (Matthew) (these two statements are complementary, not contradictory), and Matthew states explicitly that this was Joseph’s family tomb, whereas Mark does not (these statements likewise are complementary, not contradictory). Since rock-cut tombs belonged to families, I believe that Matthew is accurate in this detail.