Prime p₀= 2666124719437188209 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 220 2 4 2 28 2 52 2 118 2 154 2 (?)
a_n: 0 2 222 224 228 230 258 260 312 314 432 434 588 590
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: 590
Found by: RFGuy_KCCO
db: batch=82, k=14, 220 4 28 52 118 154

SPT(16)	2666123353744167767	0 2 24 72 74 86 90 92 114 116 120 132 134 182 204 206	-1365693020442
SPT(16)	2666123644130565901	0 16 42 72 78 126 142 258 310 426 442 490 496 526 552 568	-1075306622308
SPT(16)	2666123720432406469	0 4 72 112 132 138 144 148 264 268 274 280 300 340 408 412	-999004781740
STPT(10)	2666123823298713059	0 2 18 20 60 62 102 104 120 122	-896138475150
STPT(10)	2666123991234363557	0 2 42 44 72 74 102 104 144 146	-728202824652
STPT(10)	2666124404820168881	0 2 120 122 138 140 156 158 276 278	-314617019328
STPT(10)	2666125827958152611	0 2 6 8 18 20 30 32 36 38	1108520964402
SPT(16)	2666126164951049183	0 8 18 36 38 50 66 84 140 158 174 186 188 206 216 224	1445513860974
STPT(10)	2666126798775081359	0 2 48 50 90 92 132 134 180 182	2079337893150
SPT(16)	2666127084280095869	0 12 32 42 72 90 102 104 108 110 122 140 170 180 200 212	2364842907660
SPT(16)	2666127655357228399	0 24 84 108 112 162 204 232 270 298 340 390 394 418 478 502	2935920040190