Prime p₀= 2412514713208193591 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 22 2 238 2 34 2 88 2 28 2 (?)
a_n: 0 2 6 8 30 32 270 272 306 308 396 398 426 428
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: 428
Found by: JayPi
db: batch=82, k=14, 4 22 238 34 88 28

SPT(16)	2412513105870572933	0 68 78 90 96 128 134 144 170 180 186 218 224 236 246 314	-1607337620658
SPT(16)	2412513168430681003	0 6 24 28 30 34 64 70 114 120 150 154 156 160 178 184	-1544777512588
SPT(16)	2412513226548829423	0 60 64 76 90 96 160 208 216 264 328 334 348 360 364 424	-1486659364168
SPT(16)	2412514178175771311	0 90 96 140 162 192 222 272 306 356 386 416 438 482 488 578	-535032422280
STPT(10)	2412514208736336371	0 2 6 8 18 20 30 32 36 38	-504471857220
STPT(10)	2412514330980901877	0 2 30 32 72 74 114 116 144 146	-382227291714
SPT(16)	2412515201307558541	0 42 60 78 106 120 150 216 232 298 328 342 370 388 406 448	488099364950
STPT(10)	2412515945956871939	0 2 18 20 30 32 42 44 60 62	1232748678348
TPT(14)	2412516152520149279	0 2 30 32 60 62 132 134 162 164 288 290 300 302	1439311955688
SPT(16)	2412516333639348889	0 24 28 42 52 64 88 112 270 294 318 330 340 354 358 382	1620431155298
SPT(16)	2412516553517534473	0 58 136 196 198 220 274 300 304 330 384 406 408 468 546 604	1840309340882