Prime p₀= 2309909373875043119 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 82 2 64 2 178 2 70 2 28 2 (?)
a_n: 0 2 18 20 102 104 168 170 348 350 420 422 450 452
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: 452
Found by: FritzB
db: batch=81, k=14, 16 82 64 178 70 28

STPT(10)	2309908715435990531	0 2 36 38 78 80 120 122 156 158	-658439052588
SPT(16)	2309908737451151227	0 46 70 76 100 112 156 160 222 226 270 282 306 312 336 382	-636423891892
SPT(16)	2309908820122588019	0 24 32 60 74 158 168 200 222 254 264 348 362 390 398 422	-553752455100
SPT(16)	2309908859875644581	0 2 42 102 116 186 212 248 270 306 332 402 416 476 516 518	-513999398538
STPT(10)	2309909167995992411	0 2 30 32 60 62 90 92 120 122	-205879050708
SPT(16)	2309909262983793253	0 6 90 94 124 150 168 228 286 346 364 390 420 424 508 514	-110891249866
SPT(16)	2309909550471999529	0 4 58 70 72 78 84 88 114 118 124 130 132 144 198 202	176596956410
STPT(10)	2309909914095546767	0 2 12 14 132 134 252 254 264 266	540220503648
STPT(10)	2309910171261626369	0 2 18 20 60 62 102 104 120 122	797386583250
SPT(16)	2309910444776834209	0 4 24 48 52 88 172 190 282 300 384 420 424 448 468 472	1070901791090
SPT(16)	2309910459152514649	0 4 12 30 34 40 58 82 120 144 162 168 172 190 198 202	1085277471530