Prime p₀= 2956345251208054931 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 22 2 34 2 40 2 10 2 64 2 (?)
a_n: 0 2 96 98 120 122 156 158 198 200 210 212 276 278
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 278
Found by: [SG-FC] hl
db: batch=82, k=14, 94 22 34 40 10 64

STPT(10)	2956344681018109607	0 2 30 32 72 74 114 116 144 146	-570189945324
SPT(16)	2956345071544385659	0 10 40 54 84 120 144 274 360 490 514 550 580 594 624 634	-179663669272
SPT(16)	2956345108386409549	0 10 42 90 132 148 172 190 192 210 234 250 292 340 372 382	-142821645382
STPT(10)	2956345118172685409	0 2 42 44 60 62 78 80 120 122	-133035369522
SPT(16)	2956345189089419531	0 32 50 62 92 120 140 158 162 180 200 228 258 270 288 320	-62118635400
TPT(14)	2956345247325323669	0 2 48 50 60 62 90 92 168 170 180 182 228 230	-3882731262
SPT(16)	2956345274901740177	0 14 30 36 44 56 66 114 122 170 180 192 200 206 222 236	23693685246
SPT(16)	2956345342776281581	0 16 60 72 76 168 198 222 256 280 310 402 406 418 462 478	91568226650
STPT(10)	2956345627051662017	0 2 30 32 42 44 54 56 84 86	375843607086
STPT(10)	2956346017905192971	0 2 36 38 78 80 120 122 156 158	766697138040
STPT(10)	2956346393949061847	0 2 30 32 42 44 54 56 84 86	1142741006916