Prime p₀= 2147001518764694567 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 88 2 28 2 88 2 40 2 (?)
a_n: 0 2 42 44 132 134 162 164 252 254 294 296
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: 296
Found by: Landjunge
db: batch=80, k=12, 2 40 2 88 2 28

STPT(10)	2146999635424958927	0 2 30 32 42 44 54 56 84 86	-1883339735640
STPT(10)	2146999872239504801	0 2 30 32 78 80 126 128 156 158	-1646525189766
STPT(10)	2147000253739465217	0 2 30 32 60 62 90 92 120 122	-1265025229350
STPT(10)	2147000263824770741	0 2 30 32 78 80 126 128 156 158	-1254939923826
STPT(10)	2147000424600911849	0 2 12 14 30 32 48 50 60 62	-1094163782718
SPT(16)	2147000531183554093	0 34 46 60 76 84 94 126 154 186 196 204 220 234 246 280	-987581140474
SPT(16)	2147001590208469879	0 10 22 30 54 70 78 100 132 154 162 178 202 210 222 232	71443775312
TPT(14)	2147001610035806129	0 2 72 74 90 92 168 170 210 212 282 284 312 314	91271111562
SPT(16)	2147001610453832999	0 12 20 62 72 114 128 210 242 324 338 380 390 432 440 452	91689138432
SPT(16)	2147001922093944863	0 30 44 50 56 78 98 134 330 366 386 408 414 420 434 464	403329250296
SPT(16)	2147002373216783311	0 22 40 42 78 88 106 118 180 192 210 220 256 258 276 298	854452088744