Prime p₀= 2627957468698709867 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 16 2 106 2 58 2 10 2 166 2 (?)
a_n: 0 2 24 26 42 44 150 152 210 212 222 224 390 392
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: RFGuy_KCCO
db: batch=82, k=14, 22 16 106 58 10 166

SPT(16)	2627956770305720647	0 34 40 76 96 136 210 216 280 286 360 400 420 456 462 496	-698392989220
SPT(16)	2627957167192155941	0 50 72 120 140 158 198 270 308 380 420 438 458 506 528 578	-301506553926
STPT(10)	2627957193013091867	0 2 12 14 72 74 132 134 144 146	-275685618000
STPT(10)	2627957204550306437	0 2 90 92 132 134 174 176 264 266	-264148403430
STPT(10)	2627957220011590937	0 2 72 74 162 164 252 254 324 326	-248687118930
SPT(16)	2627957418719365507	0 40 42 52 102 120 126 144 172 190 196 214 264 274 276 316	-49979344360
STPT(10)	2627957559923069189	0 2 12 14 30 32 48 50 60 62	91224359322
SPT(16)	2627957681450061931	0 22 42 60 66 106 126 150 172 196 216 256 262 280 300 322	212751352064
STPT(10)	2627957869881765329	0 2 18 20 30 32 42 44 60 62	401183055462
SPT(16)	2627957936507008747	0 22 52 54 82 90 96 126 130 160 166 174 202 204 234 256	467808298880
SPT(16)	2627958031219708007	0 2 30 42 104 120 146 182 324 360 386 402 464 476 504 506	562520998140