Prime p₀= 2942435828357943761 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 76 2 112 2 28 2 76 2 40 2 (?)
a_n: 0 2 48 50 126 128 240 242 270 272 348 350 390 392
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: 392
Found by: Alnitak2019
db: batch=82, k=14, 46 76 112 28 76 40

STPT(10)	2942434478000835149	0 2 12 14 90 92 168 170 180 182	-1350357108612
SPT(16)	2942434502051334679	0 4 48 72 88 142 180 198 214 232 270 324 340 364 408 412	-1326306609082
SPT(16)	2942435133677925647	0 6 26 32 66 84 144 146 150 152 212 230 264 270 290 296	-694680018114
STPT(10)	2942435191132326941	0 2 6 8 18 20 30 32 36 38	-637225616820
TPT(14)	2942435217361798931	0 2 48 50 66 68 78 80 108 110 180 182 246 248	-610996144830
TPT(14)	2942435735205018467	0 2 42 44 60 62 270 272 294 296 414 416 420 422	-93152925294
SPT(16)	2942435927107376071	0 16 30 66 78 142 162 198 220 256 276 340 352 388 402 418	98749432310
SPT(16)	2942435967292344371	0 6 50 60 78 80 90 116 150 176 186 188 206 216 260 266	138934400610
SPT(20)	2942436094303721671	0 12 18 22 78 102 106 190 208 238 270 300 318 402 406 430 486 490 496 508	265945777910
STPT(10)	2942436228625444247	0 2 30 32 72 74 114 116 144 146	400267500486
STPT(10)	2942436251950103549	0 2 12 14 90 92 168 170 180 182	423592159788