Prime p₀= 2592607963366346741 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 16 2 76 2 40 2 58 2 40 2 (?)
a_n: 0 2 30 32 48 50 126 128 168 170 228 230 270 272
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: 272
Found by: JayPi
db: batch=82, k=14, 28 16 76 40 58 40

SPT(16)	2592606509970499651	0 16 28 46 52 70 88 96 142 150 168 186 192 210 222 238	-1453395847090
STPT(10)	2592606924646899071	0 2 6 8 18 20 30 32 36 38	-1038719447670
STPT(10)	2592606926310217511	0 2 36 38 78 80 120 122 156 158	-1037056129230
SPT(16)	2592606944551493951	0 8 30 32 68 92 132 168 230 266 306 330 366 368 390 398	-1018814852790
TPT(14)	2592607346594312777	0 2 30 32 90 92 114 116 120 122 132 134 300 302	-616772033964
SPT(16)	2592607697399936449	0 4 60 70 88 90 184 202 270 288 382 384 402 412 468 472	-265966410292
SPT(16)	2592608615747584699	0 4 40 42 72 124 154 192 202 240 270 322 352 354 390 394	652381237958
SPT(16)	2592608758346967881	0 30 48 72 170 210 240 300 380 440 470 510 608 632 650 680	794980621140
STPT(10)	2592608771183346701	0 2 36 38 78 80 120 122 156 158	807816999960
SPT(16)	2592608826833943317	0 44 56 66 74 96 110 114 122 126 140 162 170 180 192 236	863467596576
STPT(10)	2592609188753381849	0 2 42 44 60 62 78 80 120 122	1225387035108