Prime p₀= 2710376405758887911 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 10 2 88 2 118 2 118 2 10 2 (?)
a_n: 0 2 36 38 48 50 138 140 258 260 378 380 390 392
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: JayPi
db: batch=82, k=14, 34 10 88 118 118 10

TPT(14)	2710374510855761831	0 2 6 8 168 170 186 188 336 338 366 368 378 380	-1894903126080
STPT(10)	2710375275385774679	0 2 42 44 90 92 138 140 180 182	-1130373113232
TPT(16)	2710375323910149359	0 2 60 62 102 104 162 164 252 254 258 260 408 410 468 470	-1081848738552
SPT(16)	2710375725080040581	0 26 92 116 182 240 246 266 282 302 308 366 432 456 522 548	-680678847330
SPT(16)	2710375727851698121	0 66 70 78 88 90 112 118 180 186 208 210 220 228 232 298	-677907189790
SPT(16)	2710375825107591041	0 8 18 30 78 90 126 146 240 260 296 308 356 368 378 386	-580651296870
SPT(16)	2710376522378077517	0 26 54 90 126 132 144 200 216 272 284 290 326 362 390 416	116619189606
TPT(14)	2710376668036431221	0 2 60 62 78 80 120 122 126 128 156 158 258 260	262277543310
SPT(16)	2710377374219910011	0 42 56 66 68 78 108 110 138 140 170 180 182 192 206 248	968461022100
STPT(10)	2710378072991423249	0 2 48 50 60 62 72 74 120 122	1667232535338
STPT(10)	2710378477354080227	0 2 30 32 60 62 90 92 120 122	2071595192316