Prime p₀= 1247268411035910761 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 142 2 64 2 28 2 112 2 16 2 (?)
a_n: 0 2 36 38 180 182 246 248 276 278 390 392 408 410
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: 410
Found by: Cruncher Pete
db: batch=77, k=14, 34 142 64 28 112 16

SPT(16)	1247267472530646683	0 18 56 90 168 174 266 320 384 438 530 536 614 648 686 704	-938505264078
TPT(14)	1247267481283562927	0 2 24 26 60 62 84 86 102 104 114 116 144 146	-929752347834
SPT(16)	1247267540943225667	0 10 94 126 196 210 232 270 406 444 466 480 550 582 666 676	-870092685094
SPT(16)	1247267857950368203	0 10 24 60 66 78 88 136 138 186 196 208 214 250 264 274	-553085542558
STPT(10)	1247268109048167917	0 2 42 44 72 74 102 104 144 146	-301987742844
SPT(16)	1247268258784872293	0 60 68 78 84 116 120 144 170 194 198 230 236 246 254 314	-152251038468
TPT(14)	1247268426918423737	0 2 120 122 300 302 330 332 450 452 480 482 504 506	15882512976
SPT(16)	1247268680228573153	0 6 30 50 60 78 86 90 224 228 236 254 264 284 308 314	269192662392
STPT(10)	1247268731341060397	0 2 12 14 72 74 132 134 144 146	320305149636
SPT(16)	1247268960902065219	0 24 48 60 70 84 88 154 174 240 244 258 268 280 304 328	549866154458
SPT(16)	1247268968561287613	0 18 50 74 134 156 186 198 266 278 308 330 390 414 446 464	557525376852