PHILADELPHIA -- Maybe the Phillies win on Tuesday if Jeurys Familia leaves the mound and sprints to first base.

Maybe they win if he catches the throw from Rhys Hoskins.

Neither of those things happened in the 10th inning in a 7-4 loss to the Giants in 11 innings at Citizens Bank Park. Familia’s defensive misadventures led to the Giants scoring a go-ahead run. The Phils tied the game in the bottom of the 10th, but they lost in the 11th. It was the latest example of the Phillies' problematic defense costing them runs in games they need to win. The Phillies have lost 12 of their last 16 games to finish May at 21-29 (including 10-18 in May). They are 12 1/2 games behind the Mets in the National League East and seven games behind the Giants for the final NL Wild Card spot.

“June has to be better,” Phillies manager Joe Girardi said.

Perhaps, but only if they play better defense, pitch better late and hit as expected. The Phillies will open June with Wednesday’s series finale against the Giants. They play three this weekend against Shohei Ohtani, Mike Trout and the Angels. They play three next week against the Brewers.

They will play each of those games without Jean Segura.

Segura fractured his right index finger when he squared to bunt in the seventh inning. There is no timetable for his return, but it is a significant loss. Segura is one of the Phillies’ only average or better defenders. He is their third-most productive hitter with a .731 OPS. The bad break could cut short Didi Gregorius’ rehab assignment with Triple-A Lehigh Valley. He went 2-for-2 with a home run and a walk on Tuesday with the IronPigs.

“It’s definitely not easy, right?” Kyle Schwarber said. “He’s one of the best second basemen in baseball.”

But the Phillies will need to overcome so much more than Segura to have a winning June. They closed May with three consecutive losses in extra innings.

The month also included other bad losses. They blew a six-run lead in the ninth inning in an 8-7 loss to the Mets on May 5. They were a strike away from sweeping the Dodgers in a four-game series at Dodger Stadium on May 15, but they lost, 5-4. The Phillies wasted Bryce Harper’s go-ahead homer in the ninth in Atlanta on May 24. They lost, 6-5.

Good teams win those games.

The Phillies say they are a good team. They say they are just losing those games right now.

“I believe in this team,” Schwarber said. “I wholeheartedly believe in the team. Do I think that we’re better? Yes. I definitely think that we’re better than that record shows. But we have to find a way to go out there and win baseball games.

“It’s the close games. We just ended up on the other side of them. It’s unfortunate. Obviously, we’re not going out there and trying to be on the other side or not get the job done. I will tell you, the preparation is there. It’s unbelievable. The due diligence of who’s on the mound, what we have to do on defense. It’s not like we’re showing up at 6 o’clock for a 7 o’clock game.”

But the lapses and losses keep coming. The Giants had the automatic runner on second with no outs in the 10th when Joc Pederson hit a hard grounder to Hoskins. Familia was late getting off the mound and slow to run to first. Hoskins threw the ball to him. Familiar never had a chance to beat Pederson to the bag -- even if he caught the ball.

But Familia completely missed it.

By the time he recovered, Wilmer Flores had scored the go-ahead run from second base.

Somehow, Familia wiggled out of the inning. But the optics were bad throughout. From the defensive mistake to having to stop the game twice to tie his shoes to having to halt the game again because his PitchCom receiver did not work.

It was an inning that seemed to encapsulate the past few weeks.

Ironically, Familia pitched for the third consecutive day. Girardi has been questioned in the past week for not pushing his pitchers into that, particularly after he declined to pitch Corey Knebel in the ninth in that May 24 loss in Atlanta. Familia threw only 13 pitches the previous two days, so Girardi felt comfortable with it this time around.

But did the urgency of the day play into it? After all, the Phillies need to start winning.

“There’s urgency every day,” Girardi said. “But I’m not going to abuse people. I refuse to do that.”