Prime p₀= 2707849227745881299 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: JayPi
db: batch=82, k=12, 2 10 2 28 2 34

STPT(10)	2707848133247287907	0 2 30 32 60 62 90 92 120 122	-1094498593392
SPT(16)	2707848161460713729	0 20 38 44 84 120 128 168 344 384 392 428 468 474 492 512	-1066285167570
SPT(16)	2707848330040669969	0 10 52 72 102 108 192 280 300 388 472 478 508 528 570 580	-897705211330
SPT(16)	2707848985032222287	0 12 44 60 90 114 116 152 204 240 242 266 296 312 344 356	-242713659012
STPT(10)	2707849048564021487	0 2 30 32 72 74 114 116 144 146	-179181859812
SPT(16)	2707849161990632833	0 24 34 70 88 94 148 160 264 276 330 336 354 390 400 424	-65755248466
SPT(16)	2707849826659301827	0 16 66 70 76 96 100 112 180 192 196 216 222 226 276 292	598913420528
STPT(10)	2707849846604501237	0 2 60 62 72 74 84 86 144 146	618858619938
SPT(13)	2707849999421054251	0 30 60 66 96 102 126 150 156 186 192 222 252	771675172952
SPT(16)	2707850028632645269	0 48 60 72 84 88 90 114 148 172 174 178 190 202 214 262	800886763970
SPT(16)	2707850369361600971	0 18 36 78 146 186 188 302 336 450 452 492 560 602 620 638	1141615719672