Prime p₀= 2731632694472288729 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 4 2 40 2 16 2 82 2 16 2 (?)
a_n: 0 2 42 44 48 50 90 92 108 110 192 194 210 212
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: 212
Found by: JayPi
db: batch=82, k=14, 40 4 40 16 82 16

STPT(10)	2731631198805004619	0 2 12 14 30 32 48 50 60 62	-1495667284110
STPT(10)	2731631536285000379	0 2 18 20 30 32 42 44 60 62	-1158187288350
TPT(14)	2731631998771502969	0 2 30 32 60 62 162 164 198 200 270 272 288 290	-695700785760
SPT(16)	2731632297279820531	0 46 70 90 102 120 132 148 240 256 268 286 298 318 342 388	-397192468198
STPT(10)	2731632503104538237	0 2 12 14 42 44 72 74 84 86	-191367750492
SPT(16)	2731632555419115181	0 16 36 58 60 78 150 172 246 268 340 358 360 382 402 418	-139053173548
SPT(16)	2731632703003708753	0 18 30 54 96 100 106 118 126 138 144 148 190 214 226 244	8531420024
SPT(16)	2731632800682008261	0 36 38 56 80 108 152 156 272 276 320 348 372 390 392 428	106209719532
SPT(16)	2731632831093630671	0 6 8 12 30 42 50 60 128 138 146 158 176 180 182 188	136621341942
TPT(14)	2731632868355687039	0 2 18 20 42 44 72 74 132 134 252 254 300 302	173883398310
SPT(16)	2731632880714898249	0 42 48 152 162 174 182 188 264 270 278 290 300 404 410 452	186242609520