Prime p₀= 2465246811995685299 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 160 2 166 2 28 2 100 2 4 2 (?)
a_n: 0 2 30 32 192 194 360 362 390 392 492 494 498 500
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: 500
Found by: JayPi
db: batch=82, k=14, 28 160 166 28 100 4

SPT(16)	2465246184048150287	0 2 14 36 44 66 206 222 224 240 380 402 410 432 444 446	-627947535012
TPT(14)	2465246491127864567	0 2 54 56 90 92 114 116 132 134 312 314 342 344	-320867820732
SPT(16)	2465246525191452199	0 22 40 60 120 138 162 240 280 358 382 400 460 480 498 520	-286804233100
SPT(16)	2465246571247729939	0 40 64 82 150 204 220 234 250 264 280 334 402 420 444 484	-240747955360
SPT(16)	2465246624171130157	0 12 24 52 96 124 150 180 226 256 282 310 354 382 394 406	-187824555142
SPT(16)	2465246633338140059	0 18 24 104 108 134 140 150 158 168 174 200 204 284 290 308	-178657545240
SPT(16)	2465247139410100109	0 12 32 42 50 110 122 180 182 240 252 312 320 330 350 362	327414414810
STPT(10)	2465247253960868987	0 2 30 32 42 44 54 56 84 86	441965183688
STPT(10)	2465247333084011657	0 2 24 26 42 44 60 62 84 86	521088326358
STPT(10)	2465247780679552397	0 2 42 44 72 74 102 104 144 146	968683867098
SPT(18)	2465247827189355457	0 12 64 106 130 166 204 222 244 252 274 292 330 366 390 432 484 496	1015193670158