Prime p₀= 820189919667121121 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 40 2 34 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 96 98 138 140 156 158
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 158
Found by: Theadalus
db: batch=73, k=12, 2 16 2 40 2 34

STPT(10)	820189218532155149	0 2 18 20 30 32 42 44 60 62	-701134965972
STPT(10)	820189315864267379	0 2 30 32 60 62 90 92 120 122	-603802853742
STPT(10)	820189706131206119	0 2 42 44 60 62 78 80 120 122	-213535915002
SPT(16)	820189787512054159	0 22 30 48 70 90 100 124 198 222 232 252 274 292 300 322	-132155066962
STPT(10)	820189813367197457	0 2 30 32 60 62 90 92 120 122	-106299923664
SPT(16)	820189919667121039	0 70 82 84 100 102 142 144 178 180 220 222 238 240 252 322	-82
STPT(10)	820189955402485607	0 2 30 32 60 62 90 92 120 122	35735364486
STPT(10)	820190172510979727	0 2 30 32 72 74 114 116 144 146	252843858606
STPT(10)	820190332598068181	0 2 36 38 78 80 120 122 156 158	412930947060
SPT(16)	820190903746412831	0 62 72 78 98 132 150 156 182 188 206 240 260 266 276 338	984079291710
SPT(13)	820191239773834987	0 6 36 42 66 120 126 132 186 210 216 246 252	1320106713866