Prime p₀= 2516616247632901187 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 52 2 28 2 34 2 40 2 16 2 (?)
a_n: 0 2 90 92 144 146 174 176 210 212 252 254 270 272
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: 272
Found by: JayPi
db: batch=82, k=14, 88 52 28 34 40 16

STPT(10)	2516613985531708871	0 2 6 8 48 50 90 92 96 98	-2262101192316
SPT(16)	2516614318699657807	0 46 66 112 126 142 144 156 250 262 264 280 294 340 360 406	-1928933243380
SPT(16)	2516614445041473401	0 8 42 72 122 158 182 216 242 276 300 336 386 416 450 458	-1802591427786
STPT(10)	2516614602774770747	0 2 12 14 42 44 72 74 84 86	-1644858130440
SPT(16)	2516615308733946983	0 54 80 110 114 150 210 234 320 344 404 440 444 474 500 554	-938898954204
STPT(10)	2516615658145001261	0 2 36 38 78 80 120 122 156 158	-589487899926
SPT(16)	2516616665164275461	0 30 32 86 102 126 156 210 218 272 302 326 342 396 398 428	417531374274
SPT(20)	2516617790257775441	0 18 30 48 56 86 90 108 132 150 188 206 230 248 252 282 290 308 320 338	1542624874254
SPT(13)	2516617874078172869	0 30 42 60 78 102 120 138 162 180 198 210 240	1626445271682
STPT(10)	2516618545635384101	0 2 6 8 18 20 30 32 36 38	2298002482914
STPT(10)	2516618968617992279	0 2 18 20 30 32 42 44 60 62	2720985091092