Prime p₀= 2707900537656532061 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 40 2 34 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 96 98 138 140 156 158
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: 158
Found by: JayPi
db: batch=82, k=12, 2 16 2 40 2 34

STPT(10)	2707899241122780119	0 2 42 44 120 122 198 200 240 242	-1296533751942
SPT(16)	2707899477938623211	0 36 42 50 62 116 152 182 270 300 336 390 402 410 416 452	-1059717908850
SPT(16)	2707899507911226019	0 52 100 138 174 222 234 270 292 328 340 388 424 462 510 562	-1029745306042
SPT(16)	2707899786034834621	0 10 40 42 88 90 112 132 136 156 178 180 226 228 258 268	-751621697440
SPT(16)	2707900025106774143	0 6 50 66 84 86 150 174 206 230 294 296 314 330 374 380	-512549757918
SPT(16)	2707900135912207913	0 24 26 48 50 66 96 150 164 218 248 264 266 288 290 314	-401744324148
SPT(16)	2707900967054661139	0 10 54 60 102 112 114 144 178 208 210 220 262 268 312 322	429398129078
TPT(14)	2707901538370622831	0 2 156 158 180 182 228 230 240 242 318 320 360 362	1000714090770
SPT(16)	2707901958380988529	0 4 10 58 70 88 114 294 328 508 534 552 564 612 618 622	1420724456468
STPT(10)	2707902148865485211	0 2 6 8 48 50 90 92 96 98	1611208953150
STPT(10)	2707902278292535109	0 2 42 44 60 62 78 80 120 122	1740636003048