Prime p₀= 2798647034551811657 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 16 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 60 62 90 92 102 104
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: 104
Found by: JayPi
db: batch=82, k=12, 2 10 2 28 2 16

SPT(16)	2798645786515606309	0 24 52 78 102 168 178 184 198 204 214 280 304 330 358 382	-1248036205348
SPT(16)	2798645830354557559	0 24 60 88 138 168 180 234 238 292 304 334 384 412 448 472	-1204197254098
STPT(10)	2798645960332933757	0 2 54 56 72 74 90 92 144 146	-1074218877900
STPT(10)	2798646488057989739	0 2 42 44 60 62 78 80 120 122	-546493821918
STPT(10)	2798646552800402957	0 2 42 44 72 74 102 104 144 146	-481751408700
STPT(10)	2798646716906729231	0 2 6 8 48 50 90 92 96 98	-317645082426
TPT(14)	2798647234573140077	0 2 24 26 54 56 72 74 84 86 180 182 372 374	200021328420
SPT(16)	2798647541552947327	0 22 60 64 70 130 180 204 322 346 396 456 462 466 504 526	507001135670
SPT(16)	2798647549705796629	0 10 42 78 120 130 172 192 268 288 330 340 382 418 450 460	515153984972
SPT(16)	2798647610246391089	0 14 20 54 72 102 114 120 194 200 212 242 260 294 300 314	575694579432
STPT(10)	2798647650389790341	0 2 6 8 18 20 30 32 36 38	615837978684