Here is scenario in which KT wins 96 additional games (103 total) but does not reach the postseason.

Here are the final standings in the scenario:
            Team	W	L	D	PCT	GB
         Samsung	101	39	4	0.7214	0.0
          Doosan	103	40	1	0.7203	-0.5
              NC	101	40	3	0.7163	0.5
          Hanwha	103	41	0	0.7153	0.0	See explanation of tie-breakers below.
             SSG	103	41	0	0.7153	0.0	See explanation of tie-breakers below.
              KT	103	41	0	0.7153	0.0	See explanation of tie-breakers below.
             KIA	47	97	0	0.3264	56.0
           Lotte	34	110	0	0.2361	69.0
              LG	18	126	0	0.1250	85.0
          Kiwoom	3	141	0	0.0208	100.0

Explanation of Tie-breakers:
The following table shows how many games each of the teams tied for fifth place in the scenario have already won against each other:
Team	Hanwha	KT	SSG	Total
Hanwha	-	0	1	1
KT	3	-	0	3
SSG	0	0	-	0

The following table shows how many additional games each of the teams tied for fifth place win against each other in the scenario:
Team	Hanwha	KT	SSG	Total
Hanwha	-	13	4	17
KT	0	-	12	12
SSG	11	4	-	15

The following table shows how many games total each of the teams tied for fifth place win against each other in the scenario:
Team	Hanwha	KT	SSG	Total
Hanwha	-	13	5	18
KT	3	-	12	15
SSG	11	4	-	15

The first tiebreaker does not resolve the tie.
The following table shows how many runs each of the teams tied for fifth place as already scored against each other in the scenario:
Team	Hanwha	KT	SSG	Total
Hanwha	-	23	6	29
KT	36	-	0	36
SSG	2	0	-	2

The following table shows how many additional runs each of the teams tied for fifth place scores against each other in the scenario:
Team	Hanwha	KT	SSG	Total
Hanwha	-	13	7	20
KT	0	-	12	12
SSG	11	35	-	46

The following table shows how many runs total each of the teams tied for fifth place scores against each other in the scenario:
Team	Hanwha	KT	SSG	Total
Hanwha	-	36	13	49
KT	36	-	12	48
SSG	13	35	-	48


KT finished #0 in the standings last year.
SSG finished #0 in the standings last year.

To construct the scenario, we start with the current standings:
            Team	W	L	D	GL	PCT	GB
              KT	7	2	0	135	0.778	0.0
             SSG	7	2	0	135	0.778	0.0
              NC	6	3	0	135	0.667	1.0
         Samsung	5	3	1	135	0.625	1.5
          Hanwha	5	4	0	135	0.556	2.0
              LG	5	4	0	135	0.556	2.0
          Kiwoom	3	6	0	135	0.333	4.0
          Doosan	2	6	1	135	0.250	4.5
             KIA	2	7	0	135	0.222	5.0
           Lotte	2	7	0	135	0.222	5.0

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	-	10	16	15	0	16	16	14	13	1	101
Hanwha	3	-	16	14	13	16	16	16	0	4	98
KIA	0	0	-	16	0	13	16	0	0	0	45
Kiwoom	0	0	0	-	0	0	0	0	0	0	0
KT	16	0	16	16	-	14	15	7	0	12	96
LG	0	0	0	13	0	-	0	0	0	0	13
Lotte	0	0	0	16	0	16	-	0	0	0	32
NC	0	0	13	16	9	15	13	-	13	16	95
Samsung	0	16	15	16	13	16	14	0	-	6	96
SSG	15	11	14	13	4	16	13	0	10	-	96
-----------------------------------------------------------------------------------
Losses	34	37	90	135	39	122	103	37	36	39

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

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	-	11	16	15	0	16	16	15	13	1	103
Hanwha	5	-	16	16	13	16	16	16	0	5	103
KIA	0	0	-	16	0	14	16	1	0	0	47
Kiwoom	1	0	0	-	0	1	0	0	0	1	3
KT	16	3	16	16	-	16	16	7	1	12	103
LG	0	0	2	15	0	-	0	1	0	0	18
Lotte	0	0	0	16	0	16	-	0	2	0	34
NC	1	0	15	16	9	15	16	-	13	16	101
Samsung	2	16	16	16	15	16	14	0	-	6	101
SSG	15	11	16	15	4	16	16	0	10	-	103
-----------------------------------------------------------------------------------
Losses	40	41	97	141	41	126	110	40	39	41

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