Prime p₀= 2499286528342493117 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 10 2 4 2 10 2 40 2 (?)
a_n: 0 2 42 44 54 56 60 62 72 74 114 116
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: 116
Found by: Penguin
db: batch=82, k=12, 2 40 2 10 2 4

STPT(10)	2499284384166238619	0 2 18 20 30 32 42 44 60 62	-2144176254498
STPT(10)	2499285148454787389	0 2 12 14 90 92 168 170 180 182	-1379887705728
STPT(10)	2499285381055649369	0 2 78 80 120 122 162 164 240 242	-1147286843748
TPT(14)	2499285944641237721	0 2 30 32 60 62 138 140 180 182 210 212 300 302	-583701255396
SPT(16)	2499286106818994081	0 8 30 78 86 110 116 138 158 180 186 210 218 266 288 296	-421523499036
STPT(10)	2499286146763353929	0 2 42 44 60 62 78 80 120 122	-381579139188
STPT(10)	2499286802704441961	0 2 30 32 78 80 126 128 156 158	274361948844
SPT(16)	2499286860205866869	0 14 24 48 78 90 102 110 132 140 152 164 194 218 228 242	331863373752
STPT(10)	2499286915988519939	0 2 42 44 60 62 78 80 120 122	387646026822
SPT(16)	2499287040853954931	0 30 66 90 108 152 216 240 308 332 396 440 458 482 518 548	512511461814
SPT(16)	2499287063622440251	0 18 30 90 108 132 220 252 286 318 406 430 448 508 520 538	535279947134