Prime p₀= 2310243249587323871 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 160 2 28 2 10 2 58 2 28 2 (?)
a_n: 0 2 36 38 198 200 228 230 240 242 300 302 330 332
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: 332
Found by: FritzB
db: batch=81, k=14, 34 160 28 10 58 28

STPT(10)	2310242407317838991	0 2 6 8 48 50 90 92 96 98	-842269484880
SPT(16)	2310242766774152059	0 10 42 54 132 154 160 168 244 252 258 280 358 370 402 412	-482813171812
SPT(16)	2310242888696041583	0 18 26 110 140 180 228 254 270 296 344 384 414 498 506 524	-360891282288
STPT(10)	2310242996748590747	0 2 30 32 42 44 54 56 84 86	-252838733124
STPT(10)	2310243025647795419	0 2 18 20 30 32 42 44 60 62	-223939528452
SPT(16)	2310243108362882807	0 2 32 50 56 66 86 116 126 156 176 186 192 210 240 242	-141224441064
SPT(16)	2310243673590616721	0 18 42 86 90 140 168 266 282 380 408 458 462 506 530 548	424003292850
STPT(10)	2310243913021709837	0 2 30 32 42 44 54 56 84 86	663434385966
SPT(16)	2310244073610236131	0 46 90 102 112 130 168 250 258 340 378 396 406 418 462 508	824022912260
SPT(16)	2310244241053743223	0 6 64 78 88 150 166 210 214 258 274 336 346 360 418 424	991466419352
SPT(16)	2310244384747306619	0 2 78 170 182 210 234 260 282 308 332 360 372 464 540 542	1135159982748