Prime p₀= 2412516152520149279 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 70 2 28 2 124 2 10 2 (?)
a_n: 0 2 30 32 60 62 132 134 162 164 288 290 300 302
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: 302
Found by: JayPi
db: batch=82, k=14, 28 28 70 28 124 10

SPT(16)	2412514178175771311	0 90 96 140 162 192 222 272 306 356 386 416 438 482 488 578	-1974344377968
STPT(10)	2412514208736336371	0 2 6 8 18 20 30 32 36 38	-1943783812908
STPT(10)	2412514330980901877	0 2 30 32 72 74 114 116 144 146	-1821539247402
TPT(14)	2412514713208193591	0 2 6 8 30 32 270 272 306 308 396 398 426 428	-1439311955688
SPT(16)	2412515201307558541	0 42 60 78 106 120 150 216 232 298 328 342 370 388 406 448	-951212590738
STPT(10)	2412515945956871939	0 2 18 20 30 32 42 44 60 62	-206563277340
SPT(16)	2412516333639348889	0 24 28 42 52 64 88 112 270 294 318 330 340 354 358 382	181119199610
SPT(16)	2412516553517534473	0 58 136 196 198 220 274 300 304 330 384 406 408 468 546 604	400997385194
TPT(14)	2412516811508583737	0 2 60 62 84 86 102 104 180 182 222 224 234 236	658988434458
SPT(16)	2412517688402574251	0 30 48 72 80 120 132 140 198 206 218 258 266 290 308 338	1535882424972
TPT(14)	2412517704512003981	0 2 6 8 126 128 156 158 168 170 228 230 270 272	1551991854702