Prime p₀= 2830353871272133541 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 238 2 64 2 52 2 46 2 10 2 16 2 (?)
a_n: 0 2 240 242 306 308 360 362 408 410 420 422 438 440
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: 440
Found by: JayPi
db: batch=82, k=14, 238 64 52 46 10 16

SPT(16)	2830351610368317601	0 12 70 90 96 118 126 172 306 352 360 382 388 408 466 478	-2260903815940
SPT(16)	2830351878418111447	0 12 52 66 96 190 232 264 292 324 366 460 490 504 544 556	-1992854022094
STPT(10)	2830352849290475651	0 2 6 8 18 20 30 32 36 38	-1021981657890
STPT(10)	2830352972612178437	0 2 30 32 72 74 114 116 144 146	-898659955104
STPT(10)	2830353777100703627	0 2 54 56 72 74 90 92 144 146	-94171429914
SPT(16)	2830353859973509871	0 2 8 42 72 108 128 140 150 162 182 218 248 282 288 290	-11298623670
SPT(16)	2830353895768374509	0 14 24 32 114 120 128 144 188 204 212 218 300 308 318 332	24496240968
STPT(10)	2830354271570106947	0 2 12 14 42 44 72 74 84 86	400297973406
SPT(16)	2830354628288858857	0 36 42 54 64 72 96 102 124 130 154 162 172 184 190 226	757016725316
STPT(10)	2830354659302460341	0 2 6 8 18 20 30 32 36 38	788030326800
STPT(10)	2830354661996699207	0 2 30 32 42 44 54 56 84 86	790724565666