On May 15, 2008 — The Indians beat the Athletics, 4 – 2. The Cleveland starting pitchers have a consecutive scoreless innings streak of 44 1/3 before Aaron Laffey’s throwing error scores Bobby Crosby in the 2nd. It is the longest such streak since the 1974 Orioles starters had 54 straight goose eggs. The most recent Cleveland staff to match the feat was the 1948 Indians, who had 47 in a row.

Source:
Baseball Reference May 15