Here is scenario in which Lotte wins 36 additional games (83 total) but does not reach the postseason.

Here are the final standings in the scenario:
            Team	W	L	D	PCT	GB
              LG	83	57	4	0.5929	0.0
         Samsung	84	58	2	0.5915	0.0
          Doosan	81	57	6	0.5870	1.0
             KIA	82	58	4	0.5857	1.0
              KT	82	58	4	0.5857	1.0
           Lotte	83	59	2	0.5845	1.0
              NC	62	80	2	0.4366	22.0
          Hanwha	57	84	3	0.4043	26.5
             SSG	44	95	5	0.3165	38.5
          Kiwoom	44	96	4	0.3143	39.0

To construct the scenario, we start with the current standings:
            Team	W	L	D	GL	PCT	GB
              KT	62	40	2	40	0.608	0.0
         Samsung	62	42	2	38	0.596	1.0
              LG	59	48	1	36	0.551	5.5
             KIA	57	48	2	37	0.543	6.5
          Doosan	56	48	4	36	0.538	7.0
          Hanwha	48	54	3	39	0.471	14.0
              NC	46	53	2	43	0.465	14.5
           Lotte	47	57	2	38	0.452	16.0
             SSG	44	62	4	34	0.415	20.0
          Kiwoom	40	69	2	33	0.367	25.5

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	-	1	0	5	3	0	1	7	4	4	25
Hanwha	0	-	0	4	0	0	0	0	0	5	9
KIA	1	3	-	4	1	4	1	7	2	2	25
Kiwoom	0	0	0	-	0	0	0	0	0	4	4
KT	3	5	6	0	-	0	0	2	0	4	20
LG	2	6	0	0	3	-	0	6	4	3	24
Lotte	3	6	3	5	6	4	-	2	6	1	36
NC	0	6	0	4	0	0	0	-	0	6	16
Samsung	0	3	1	5	5	1	0	3	-	4	22
SSG	0	0	0	0	0	0	0	0	0	-	0
-----------------------------------------------------------------------------------
Losses	9	30	10	27	18	9	2	27	16	33

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

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	-	8	8	12	6	4	9	14	9	11	81
Hanwha	7	-	6	8	3	6	7	3	3	14	57
KIA	8	10	-	14	4	8	8	9	11	10	82
Kiwoom	4	7	2	-	3	5	2	6	4	11	44
KT	9	13	12	10	-	9	5	12	3	9	82
LG	9	10	7	10	7	-	7	11	9	12	83
Lotte	7	9	7	14	11	9	-	7	11	8	83
NC	2	13	7	10	4	5	9	-	3	9	62
Samsung	6	11	6	13	13	7	5	12	-	11	84
SSG	5	2	3	5	7	4	7	6	5	-	44
-----------------------------------------------------------------------------------
Losses	57	84	58	96	58	57	59	80	58	95

					Scenario Total Draws (Ties) With
Team	Doosan	Hanwha	KIA	Kiwoom	KT	LG	Lotte	NC	Samsung	SSG	Total
Doosan	-	1	0	0	1	3	0	0	1	0	6
Hanwha	1	-	0	1	0	0	0	0	0	0	3
KIA	0	0	-	0	0	1	1	0	0	2	4
Kiwoom	0	1	0	-	3	0	0	0	0	0	4
KT	1	0	0	3	-	0	0	0	0	0	4
LG	3	0	1	0	0	-	0	0	0	0	4
Lotte	0	0	1	0	0	0	-	0	0	1	2
NC	0	0	0	0	0	0	0	-	0	2	2
Samsung	1	0	0	0	0	0	0	0	-	0	2
SSG	0	0	2	0	0	0	1	2	0	-	5
-----------------------------------------------------------------------------------
Total	6	3	4	4	4	4	2	2	2	5