Prime p₀= 2408157666553115801 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 40 2 34 2 28 2 40 2 10 2 (?)
a_n: 0 2 78 80 120 122 156 158 186 188 228 230 240 242
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: 242
Found by: Penguin
db: batch=82, k=14, 76 40 34 28 40 10

STPT(10)	2408155965784633319	0 2 48 50 90 92 132 134 180 182	-1700768482482
SPT(16)	2408156234507116757	0 54 56 60 96 140 146 186 230 270 276 320 356 360 362 416	-1432045999044
STPT(10)	2408156396753115257	0 2 60 62 72 74 84 86 144 146	-1269800000544
SPT(16)	2408156551793893211	0 6 68 78 86 98 108 128 468 488 498 510 518 528 590 596	-1114759222590
SPT(16)	2408157197130045497	0 24 90 92 114 122 132 140 156 164 174 182 204 206 272 296	-469423070304
STPT(10)	2408157495845589947	0 2 30 32 42 44 54 56 84 86	-170707525854
SPT(16)	2408158458342726077	0 32 42 72 80 92 146 162 170 186 240 252 260 290 300 332	791789610276
TPT(14)	2408158947625393979	0 2 30 32 42 44 90 92 102 104 132 134 162 164	1281072278178
STPT(12)	2408158947625393979	0 2 30 32 42 44 90 92 102 104 132 134	1281072278178
SPT(16)	2408159094614058089	0 30 42 54 98 122 170 240 272 342 390 414 458 470 482 512	1428060942288
STPT(10)	2408159560890272009	0 2 18 20 30 32 42 44 60 62	1894337156208