Obscure MLB Record Tied....and we were there!!

My friend Armin gave Nadine and I two tickets to the Dodgers/Mets game last Monday, Labor Day.  Right behind the Dodger dugout, 2nd row!!  We went with Armin and his friend Thomas, a big Mets fan.

The game was very tight, 1-1 at the end of eight innings.  But the Mets took the lead with a 3-run homer in the top of the 9th, and although the Dodgers did score one run in their at bat, they could do no more, so the Mets won 4-2.

I had told my brother Stan some time ago that we were going to this game, and about the very good seats we would be in.  He knew I was excited to go.

After the game, he sends me this text message:
"Jacob deGrom pitched his 25th consecutive start allowing 3 or fewer runs.  He tied a MLB record held by King Cole, who did it for the Cubs in 1910."

My first reaction was "who nu?"  There was no announcement at the game (because it did not celebrate a Dodger?), and no mention in the newspapers the next day.

I started to get suspicious; was my brother pulling my leg, that a record was matched at this game, and I was not aware of it?  And who could be named "King Cole"?  A merry old soul?  A pop singer?  But not a MLB player.  So I decided to check Wikipedia; here's what it said:

"Leonard Leslie "King" Cole (April 15, 1886 – January 6, 1916) was a professional baseball player in the early 20th century. He started his baseball career as a pitcher with the Chicago Cubs in 1909. In 1910, he had a record of 20-4 and helped win a National League pennant for the Cubs. On July 31, 1910, he became the first Cubs pitcher to throw a no-hitter, defeating the St. Louis Cardinals 4-0 in a seven inning game. His 20-4 record is the best winning percentage (.866) for a Cub pitcher in the 20th century. Cole was traded to the Pittsburgh Pirates, and then the New York Yankees. On October 2, 1914, Cole gave up a double to Babe Ruth–Ruth's first hit in the Major Leagues.  In 1915, Cole was diagnosed with cancer, and died shortly after the end of the 1915 season."

No mention of the "25-game" record.  But Stan insists he heard it on ESPN, when he went there to find out how the game turned out.  So now my question to him is: 

What MLB pitcher has started his most consecutive games allowing 2 or fewer runs?

A coincidence:

It was 108 years between Cole's record (1910) and deGrom's matching it (2018).

It was 108 years between the Cubs winning their 2nd World Series (1908) and their next one (2016).