4 teams were tied for the most games with 15+ runs in 2015, with 3 games. The first three are the Toronto Blue Jays, the New York Yankees and the Washington Nationals.
Interpreted as:
MLB teams with the most games with 15 or more runs 2015| TEAM | G | R | SEASON | W% | W | L | AB | H | 2B | 3B | HR | RBI | BB | HBP | SO | SB | CS | PA | TB | XBH | SH | SF | IBB | GIDP | AVG | OBP | SLG | OPS | ||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 |  | Blue Jays | 3 | 45 | 2015 | 1.000 | 3 | 0 | 127 | 56 | 11 | 1 | 9 | 41 | 21 | 0 | 19 | 2 | 1 | 152 | 96 | 21 | 1 | 3 | 1 | 3 | .441 | .510 | .756 | 1.266 |
| 2 |  | Yankees | 3 | 56 | 2015 | 1.000 | 3 | 0 | 132 | 56 | 13 | 1 | 8 | 55 | 27 | 4 | 24 | 0 | 0 | 165 | 95 | 22 | 0 | 2 | 1 | 4 | .424 | .527 | .720 | 1.247 |
| 3 |  | Nationals | 3 | 46 | 2015 | 1.000 | 3 | 0 | 123 | 56 | 13 | 0 | 6 | 43 | 23 | 2 | 17 | 0 | 0 | 155 | 87 | 19 | 0 | 7 | 1 | 3 | .455 | .523 | .707 | 1.230 |
| 4 |  | Orioles | 3 | 55 | 2015 | 1.000 | 3 | 0 | 131 | 63 | 13 | 1 | 13 | 52 | 15 | 1 | 20 | 0 | 0 | 149 | 117 | 27 | 0 | 2 | 0 | 3 | .481 | .530 | .893 | 1.423 |
| 5 |  | Astros | 2 | 36 | 2015 | 1.000 | 2 | 0 | 89 | 34 | 8 | 2 | 7 | 32 | 16 | 0 | 12 | 1 | 0 | 108 | 67 | 17 | 1 | 2 | 1 | 0 | .382 | .467 | .753 | 1.220 |
| 6 |  | Red Sox | 2 | 37 | 2015 | 1.000 | 2 | 0 | 92 | 47 | 13 | 2 | 7 | 37 | 8 | 1 | 7 | 1 | 0 | 104 | 85 | 22 | 0 | 3 | 0 | 1 | .511 | .538 | .924 | 1.462 |
| 7 |  | Mets | 2 | 31 | 2015 | 1.000 | 2 | 0 | 91 | 41 | 12 | 0 | 12 | 30 | 7 | 2 | 16 | 0 | 0 | 100 | 89 | 24 | 0 | 0 | 1 | 1 | .451 | .500 | .978 | 1.478 |
| 8 |  | Athletics | 2 | 33 | 2015 | 1.000 | 2 | 0 | 86 | 39 | 9 | 2 | 3 | 32 | 10 | 3 | 12 | 0 | 1 | 101 | 61 | 14 | 0 | 2 | 0 | 2 | .453 | .515 | .709 | 1.224 |
| 9 |  | Rangers | 2 | 30 | 2015 | 1.000 | 2 | 0 | 81 | 34 | 3 | 1 | 5 | 28 | 9 | 3 | 15 | 0 | 0 | 95 | 54 | 9 | 0 | 2 | 0 | 2 | .420 | .484 | .667 | 1.151 |
| 10 |  | Reds | 2 | 31 | 2015 | 1.000 | 2 | 0 | 84 | 32 | 3 | 0 | 8 | 31 | 12 | 3 | 14 | 6 | 0 | 101 | 59 | 11 | 0 | 2 | 0 | 0 | .381 | .465 | .702 | 1.168 |
| 11 |  | Royals | 1 | 15 | 2015 | 1.000 | 1 | 0 | 41 | 20 | 2 | 0 | 2 | 15 | 5 | 0 | 3 | 0 | 0 | 47 | 28 | 4 | 0 | 1 | 0 | 1 | .488 | .532 | .683 | 1.215 |
| 12 |  | Twins | 1 | 15 | 2015 | 1.000 | 1 | 0 | 44 | 18 | 2 | 0 | 2 | 14 | 4 | 0 | 8 | 0 | 0 | 48 | 26 | 4 | 0 | 0 | 0 | 1 | .409 | .458 | .591 | 1.049 |
| 13 |  | Tigers | 1 | 15 | 2015 | 1.000 | 1 | 0 | 46 | 21 | 6 | 1 | 5 | 15 | 3 | 1 | 11 | 2 | 0 | 52 | 44 | 12 | 1 | 1 | 0 | 0 | .457 | .490 | .957 | 1.447 |
| 14 |  | Indians | 1 | 17 | 2015 | 1.000 | 1 | 0 | 40 | 19 | 4 | 1 | 2 | 17 | 8 | 0 | 4 | 1 | 0 | 51 | 31 | 7 | 1 | 2 | 0 | 0 | .475 | .540 | .775 | 1.315 |
| 15 |  | Rockies | 1 | 17 | 2015 | 1.000 | 1 | 0 | 38 | 15 | 2 | 3 | 5 | 17 | 6 | 0 | 6 | 0 | 0 | 46 | 38 | 10 | 1 | 1 | 0 | 0 | .395 | .467 | 1.000 | 1.467 |
| 16 |  | Giants | 1 | 15 | 2015 | 1.000 | 1 | 0 | 45 | 22 | 5 | 1 | 2 | 14 | 4 | 0 | 10 | 0 | 0 | 49 | 35 | 8 | 0 | 0 | 0 | 1 | .489 | .531 | .778 | 1.308 |
| 17 |  | Cubs | 1 | 17 | 2015 | 1.000 | 1 | 0 | 43 | 18 | 2 | 1 | 4 | 16 | 5 | 1 | 6 | 0 | 0 | 49 | 34 | 7 | 0 | 0 | 0 | 2 | .419 | .490 | .791 | 1.280 |
StatMuse has team, game-level data for runs going back to the 1901 season.
Some of the information used here was obtained free of charge from Retrosheet.
Yankees 
Red Sox 
Blue Jays 
Rays 
Orioles 
LAA 
SEA 
Mets 
Phillies 
Cubs 
Reds 
Dodgers 
Padres 
Tigers 
Guardians 
Athletics 
MIN 
ATL 
PIT 
MIA 
CWS 
WSH 
KCR 
