Prime p₀= 818941582967230571 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 40 2 76 2 10 2 88 2 10 2 (?)
a_n: 0 2 36 38 78 80 156 158 168 170 258 260 270 272
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: marsinph
db: batch=73, k=14, 34 40 76 10 88 10

TPT(14)	818939207612766239	0 2 60 62 102 104 150 152 198 200 270 272 360 362	-2375354464332
SPT(16)	818939398801312141	0 12 66 82 136 160 196 220 222 246 282 306 360 376 430 442	-2184165918430
SPT(16)	818939765977447321	0 30 42 48 100 168 258 342 418 502 592 660 712 718 730 760	-1816989783250
SPT(16)	818940294091853009	0 14 18 30 38 42 98 104 108 114 170 174 182 194 198 212	-1288875377562
SPT(16)	818940672332805349	0 10 22 28 42 78 148 160 210 222 292 328 342 348 360 370	-910634425222
SPT(16)	818941148402388329	0 54 80 84 90 110 222 248 264 290 402 422 428 432 458 512	-434564842242
STPT(10)	818941657949329097	0 2 30 32 42 44 54 56 84 86	74982098526
STPT(10)	818942442559767731	0 2 6 8 18 20 30 32 36 38	859592537160
SPT(16)	818942534116917619	0 30 34 132 138 160 190 208 234 252 282 304 310 408 412 442	951149687048
STPT(10)	818942824755501371	0 2 30 32 78 80 126 128 156 158	1241788270800
STPT(10)	818943060006308591	0 2 6 8 48 50 90 92 96 98	1477039078020