Baltimore does not have a first-place clinch number

Here is a scenario in which Baltimore wins all 58 of their remaining games (95 total) but does not but does not clinch first place.

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Tampa Bay        64	42	56	0.604	0.0
Boston           63	44	55	0.589	1.5
New York         56	48	58	0.538	7.0
Toronto          54	48	60	0.529	8.0
Baltimore        37	67	58	0.356	26.0

Next, we show how the remaining series of games in Baltimore's division plays out in the scenario:

Baltimore wins 9 games against Boston and loses 0.
Baltimore wins 9 games against New York and loses 0.
Baltimore wins 10 games against Tampa Bay and loses 0.
Baltimore wins 10 games against Toronto and loses 0.
Baltimore wins 20 games against teams outside the division and loses 0.

Boston wins 0 games against Baltimore and loses 9.
Boston wins 6 games against New York and loses 0.
Boston wins 6 games against Tampa Bay and loses 4.
Boston wins 0 games against Toronto and loses 4.
Boston wins 26 games against teams outside the division and loses 0.

New York wins 0 games against Baltimore and loses 9.
New York wins 0 games against Boston and loses 6.
New York wins 3 games against Tampa Bay and loses 0.
New York wins 3 games against Toronto and loses 4.
New York wins 33 games against teams outside the division and loses 0.

Tampa Bay wins 0 games against Baltimore and loses 10.
Tampa Bay wins 4 games against Boston and loses 6.
Tampa Bay wins 0 games against New York and loses 3.
Tampa Bay wins 6 games against Toronto and loses 0.
Tampa Bay wins 27 games against teams outside the division and loses 0.

Toronto wins 0 games against Baltimore and loses 10.
Toronto wins 4 games against Boston and loses 0.
Toronto wins 4 games against New York and loses 3.
Toronto wins 0 games against Tampa Bay and loses 6.
Toronto wins 33 games against teams outside the division and loses 0.

Combining the current standings with the wins and losses from the scenario results in the following final standings:
TEAM             W	L	GL	PCT
Boston           101	61	0.623	0.0
Tampa Bay        101	61	0.623	0.0
Baltimore        95	67	0.586	6.0
New York         95	67	0.586	6.0
Toronto          95	67	0.586	6.0

# Baltimore Orioles's magic number
# Baltimore's magic number
# Orioles's magic number
# MLB Playoff Race