Here is scenario in which Doosan wins 56 additional games (87 total) but does not reach the postseason.

Here are the final standings in the scenario:
            Team	W	L	D	PCT	GB
          Hanwha	87	53	4	0.6214	0.0
              LG	87	53	4	0.6214	0.0
         Samsung	87	53	4	0.6214	0.0
           Lotte	86	53	5	0.6187	0.5
             SSG	86	53	5	0.6187	0.5
          Doosan	87	54	3	0.6170	0.5
             KIA	59	82	3	0.4184	28.5
              NC	50	90	4	0.3571	37.0
              KT	40	99	5	0.2878	46.5
          Kiwoom	30	109	5	0.2158	56.5

To construct the scenario, we start with the current standings:
            Team	W	L	D	GL	PCT	GB
          Hanwha	46	32	1	65	0.590	0.0
              LG	45	33	2	64	0.577	1.0
           Lotte	43	35	3	63	0.551	3.0
             KIA	42	35	3	64	0.545	3.5
             SSG	39	37	3	65	0.513	6.0
              KT	40	38	3	63	0.513	6.0
         Samsung	40	39	1	64	0.506	6.5
              NC	35	38	4	67	0.479	8.5
          Doosan	31	46	3	64	0.403	14.5
          Kiwoom	26	54	3	61	0.325	21.0

The next two tables show, respectively, how many of their remaining games each team wins and ties against each of the other teams in the scenario:

					Scenario Additional Wins Against
Team	Doosan	Hanwha	KIA	Kiwoom	KT	LG	Lotte	NC	Samsung	SSG	Wins
Doosan	-	0	7	6	7	7	7	7	6	9	56
Hanwha	7	-	8	9	8	0	0	6	2	1	41
KIA	0	0	-	4	4	0	0	9	0	0	17
Kiwoom	0	0	0	-	4	0	0	0	0	0	4
KT	0	0	0	0	-	0	0	0	0	0	0
LG	1	4	8	7	9	-	6	5	0	2	42
Lotte	0	6	10	7	4	4	-	8	4	0	43
NC	0	0	0	7	8	0	0	-	0	0	15
Samsung	0	6	6	8	9	7	0	7	-	4	47
SSG	0	5	8	7	8	2	5	10	2	-	47
-----------------------------------------------------------------------------------
Losses	8	21	47	55	61	20	18	52	14	16

					Scenario Additional Draws (Ties) With
Team	Doosan	Hanwha	KIA	Kiwoom	KT	LG	Lotte	NC	Samsung	SSG	Total
Doosan	-	0	0	0	1	0	0	2	0	0	0
Hanwha	0	-	0	0	0	3	0	0	0	1	3
KIA	0	0	-	2	0	0	0	0	0	1	0
Kiwoom	0	0	0	-	2	0	0	1	0	0	2
KT	0	0	0	2	-	0	2	0	0	0	2
LG	0	2	0	0	0	-	1	0	0	0	2
Lotte	0	0	0	0	0	0	-	0	2	0	2
NC	0	0	0	0	0	0	0	-	0	1	0
Samsung	0	0	0	0	0	0	2	0	-	2	3
SSG	0	1	0	0	0	0	0	0	1	-	2
-----------------------------------------------------------------------------------
Total	0	3	0	2	2	2	2	0	3	2

The next two tables show, respectively, how many total games each team wins and ties against each of the other teams in the scenario:

					Scenario Total Wins Against
Team	Doosan	Hanwha	KIA	Kiwoom	KT	LG	Lotte	NC	Samsung	SSG	Wins
Doosan	-	4	9	13	9	11	11	9	10	11	87
Hanwha	12	-	13	15	13	4	4	13	7	6	87
KIA	7	3	-	10	11	4	4	13	3	4	59
Kiwoom	3	1	4	-	7	3	2	2	3	5	30
KT	6	3	5	7	-	4	4	3	5	3	40
LG	5	9	12	13	12	-	10	11	5	10	87
Lotte	5	12	12	14	10	5	-	12	11	5	86
NC	5	3	3	13	13	5	4	-	3	1	50
Samsung	6	9	13	13	11	11	3	13	-	8	87
SSG	5	9	11	11	13	6	11	14	6	-	86
-----------------------------------------------------------------------------------
Losses	54	53	82	109	99	53	53	90	53	53

					Scenario Total Draws (Ties) With
Team	Doosan	Hanwha	KIA	Kiwoom	KT	LG	Lotte	NC	Samsung	SSG	Total
Doosan	-	0	0	0	1	0	0	2	0	0	3
Hanwha	0	-	0	0	0	3	0	0	0	1	4
KIA	0	0	-	2	0	0	0	0	0	1	3
Kiwoom	0	0	0	-	2	0	0	1	0	0	5
KT	0	0	0	2	-	0	2	0	0	0	5
LG	0	2	0	0	0	-	1	0	0	0	4
Lotte	0	0	0	0	0	0	-	0	2	0	5
NC	0	0	0	0	0	0	0	-	0	1	4
Samsung	0	0	0	0	0	0	2	0	-	2	4
SSG	0	1	0	0	0	0	0	0	1	-	5
-----------------------------------------------------------------------------------
Total	3	4	3	5	5	4	5	4	4	5