Prime p₀= 2839457977768774379 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 34 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 78 80 108 110 120 122
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: 122
Found by: [SG-FC] hl
db: batch=82, k=12, 2 10 2 28 2 34

SPT(16)	2839455836888663911	0 6 10 22 90 106 132 168 220 256 282 298 366 378 382 388	-2140880110468
STPT(10)	2839456641716848211	0 2 36 38 78 80 120 122 156 158	-1336051926168
STPT(10)	2839457269726535741	0 2 6 8 48 50 90 92 96 98	-708042238638
STPT(10)	2839457353449313307	0 2 12 14 42 44 72 74 84 86	-624319461072
SPT(16)	2839457590014530263	0 18 48 70 78 108 186 190 216 220 298 328 336 358 388 406	-387754244116
SPT(18)	2839457975416913413	0 6 10 16 84 90 106 114 124 150 160 168 184 190 258 264 268 274	-2351860966
SPT(16)	2839457979175558649	0 12 42 110 174 182 200 212 240 252 270 278 342 410 440 452	1406784270
STPT(10)	2839458017261231459	0 2 18 20 30 32 42 44 60 62	39492457080
TPT(16)	2839458143306081201	0 2 60 62 78 80 156 158 186 188 240 242 288 290 300 302	165537306822
SPT(16)	2839459049505403681	0 6 52 70 88 90 156 198 280 322 388 390 408 426 472 478	1071736629302
SPT(16)	2839459372060481461	0 16 22 40 78 90 126 156 172 202 238 250 288 306 312 328	1394291707082