Prime p₀= 2130841574373125189 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 22 2 16 2 46 2 70 2 10 2 (?)
a_n: 0 2 78 80 102 104 120 122 168 170 240 242 252 254
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: 254
Found by: Landjunge
db: batch=80, k=14, 76 22 16 46 70 10

TPT(14)	2130840749913715577	0 2 12 14 24 26 150 152 192 194 204 206 234 236	-824459409612
SPT(16)	2130840783988192219	0 30 34 54 72 114 132 150 202 220 238 280 298 318 322 352	-790384932970
SPT(16)	2130840802406672899	0 34 70 82 118 138 168 190 222 244 274 294 330 342 378 412	-771966452290
TPT(14)	2130841069853193419	0 2 72 74 168 170 330 332 360 362 372 374 408 410	-504519931770
STPT(10)	2130841268507032967	0 2 30 32 42 44 54 56 84 86	-305866092222
SPT(16)	2130841544568045107	0 36 66 80 86 156 170 186 266 282 296 366 372 386 416 452	-29805080082
STPT(10)	2130842093445892031	0 2 6 8 18 20 30 32 36 38	519072766842
SPT(16)	2130842482180147831	0 40 46 60 90 132 156 172 210 226 250 292 322 336 342 382	907807022642
SPT(16)	2130842552239385851	0 10 12 40 42 60 72 132 136 196 208 226 228 256 258 268	977866260662
SPT(16)	2130842879147216579	0 8 48 132 182 234 248 300 302 354 368 420 470 554 594 602	1304774091390
SPT(16)	2130843537082143887	0 42 66 80 126 150 164 224 342 402 416 440 486 500 524 566	1962709018698