Prime p₀= 2568348038972863949 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 94 2 58 2 148 2 88 2 40 2 (?)
a_n: 0 2 42 44 138 140 198 200 348 350 438 440 480 482
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: 482
Found by: RFGuy_KCCO
db: batch=82, k=14, 40 94 58 148 88 40

SPT(16)	2568346479725710451	0 20 48 56 80 140 180 206 210 236 276 336 360 368 396 416	-1559247153498
STPT(10)	2568346659829514609	0 2 12 14 90 92 168 170 180 182	-1379143349340
SPT(16)	2568346723130319377	0 30 32 50 72 110 114 116 180 182 186 224 246 264 266 296	-1315842544572
SPT(16)	2568346825497238991	0 90 156 162 176 186 188 200 228 240 242 252 266 272 338 428	-1213475624958
STPT(10)	2568347548456410779	0 2 42 44 60 62 78 80 120 122	-490516453170
STPT(10)	2568347836570183901	0 2 30 32 78 80 126 128 156 158	-202402680048
STPT(10)	2568348389457345347	0 2 30 32 72 74 114 116 144 146	350484481398
SPT(16)	2568348657343721741	0 30 48 102 110 128 146 152 186 192 210 228 236 290 308 338	618370857792
SPT(20)	2568349124081553487	0 34 52 90 120 136 174 180 210 220 276 286 316 322 360 376 406 444 462 496	1085108689538
SPT(16)	2568349196198190271	0 12 18 60 88 96 102 130 138 166 172 180 208 250 256 268	1157225326322
SPT(16)	2568349800174412687	0 30 46 72 82 90 112 160 192 240 262 270 280 306 322 352	1761201548738