Prime p₀= 746622844077616601 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 40 2 76 2 28 2 100 2 76 2 (?)
a_n: 0 2 18 20 60 62 138 140 168 170 270 272 348 350
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: 350
Found by: Theadalus
db: batch=73, k=14, 16 40 76 28 100 76

SPT(16)	746621486157305107	0 34 42 70 72 96 160 174 202 216 280 304 306 334 342 376	-1357920311494
STPT(10)	746621958660168287	0 2 12 14 72 74 132 134 144 146	-885417448314
TPT(14)	746622269130007397	0 2 30 32 54 56 162 164 294 296 330 332 372 374	-574947609204
STPT(10)	746622411283787321	0 2 6 8 48 50 90 92 96 98	-432793829280
SPT(16)	746622636005418701	0 18 26 36 42 48 78 86 102 110 140 146 152 162 170 188	-208072197900
TPT(14)	746622680765655581	0 2 96 98 240 242 318 320 336 338 348 350 378 380	-163311961020
STPT(10)	746622972120221897	0 2 30 32 42 44 54 56 84 86	128042605296
SPT(16)	746623014447378857	0 42 96 110 116 120 140 162 200 222 242 246 252 266 320 362	170369762256
STPT(10)	746623429997429627	0 2 30 32 42 44 54 56 84 86	585919813026
STPT(10)	746623606986423107	0 2 30 32 42 44 54 56 84 86	762908806506
SPT(16)	746623661755356389	0 32 42 78 114 162 180 218 264 302 320 368 404 440 450 482	817677739788