Prime p₀= 2443731684411712571 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 76 2 70 2 40 2 16 2 10 2 (?)
a_n: 0 2 48 50 126 128 198 200 240 242 258 260 270 272
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, 46 76 70 40 16 10

SPT(16)	2443730637688925911	0 6 16 36 42 46 60 100 132 172 186 190 196 216 226 232	-1046722786660
STPT(10)	2443730777673819449	0 2 12 14 30 32 48 50 60 62	-906737893122
SPT(16)	2443731097494705937	0 42 94 114 120 156 234 246 310 322 400 436 442 462 514 556	-586917006634
SPT(16)	2443731240864982177	0 42 64 82 90 102 114 120 124 130 142 154 162 180 202 244	-443546730394
SPT(16)	2443731368260831171	0 12 48 66 78 120 232 246 262 276 388 430 442 460 496 508	-316150881400
SPT(16)	2443731368434444159	0 10 18 30 40 58 78 108 142 172 192 210 220 232 240 250	-315977268412
STPT(10)	2443731819590391929	0 2 18 20 30 32 42 44 60 62	135178679358
SPT(16)	2443731856855609349	0 8 18 24 32 42 50 72 80 102 110 120 128 134 144 152	172443896778
SPT(16)	2443732226527855001	0 68 78 110 138 140 176 216 302 342 378 380 408 440 450 518	542116142430
STPT(10)	2443732613369104427	0 2 30 32 42 44 54 56 84 86	928957391856
SPT(16)	2443733178612933409	0 42 60 70 112 130 160 174 208 222 252 270 312 322 340 382	1494201220838