Prime p₀= 2336661572611992737 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 102 104 114 116
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: Orange Kid
db: batch=81, k=12, 2 10 2 28 2 28

STPT(10)	2336660129767482677	0 2 30 32 72 74 114 116 144 146	-1442844510060
SPT(16)	2336660140706104567	0 4 82 96 100 120 126 162 274 310 316 336 340 354 432 436	-1431905888170
SPT(16)	2336660168372084371	0 12 148 150 166 180 216 220 318 322 358 372 388 390 526 538	-1404239908366
SPT(16)	2336660298508592587	0 10 16 24 46 66 84 114 166 196 214 234 256 264 270 280	-1274103400150
SPT(16)	2336660314007408611	0 6 102 118 162 166 190 192 316 318 342 346 390 406 502 508	-1258604584126
SPT(16)	2336660950330974731	0 32 72 80 92 102 158 188 270 300 356 366 378 386 426 458	-622281018006
STPT(10)	2336661655023018611	0 2 36 38 78 80 120 122 156 158	82411025874
STPT(10)	2336661705815777411	0 2 36 38 78 80 120 122 156 158	133203784674
STPT(10)	2336661925787493149	0 2 18 20 30 32 42 44 60 62	353175500412
STPT(10)	2336662100295111221	0 2 6 8 48 50 90 92 96 98	527683118484
STPT(10)	2336663624997752927	0 2 30 32 60 62 90 92 120 122	2052385760190