Prime p₀= 2786381513877510821 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 46 2 76 2 82 2 46 2 100 2 (?)
a_n: 0 2 60 62 108 110 186 188 270 272 318 320 420 422
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: 422
Found by: JayPi
db: batch=82, k=14, 58 46 76 82 46 100

SPT(20)	2786381002097954377	0 4 12 90 124 142 156 166 184 204 292 312 330 340 354 372 406 484 492 496	-511779556444
TPT(14)	2786381004822530327	0 2 84 86 102 104 120 122 144 146 174 176 252 254	-509054980494
SPT(16)	2786381066283753559	0 22 64 84 112 150 162 174 190 202 214 252 280 300 342 364	-447593757262
STPT(10)	2786381088770927231	0 2 126 128 138 140 150 152 276 278	-425106583590
SPT(16)	2786381206333532341	0 22 28 66 76 78 106 136 252 282 310 312 322 360 366 388	-307543978480
STPT(10)	2786381471476011551	0 2 6 8 18 20 30 32 36 38	-42401499270
TPT(14)	2786381627329002839	0 2 42 44 90 92 132 134 138 140 162 164 168 170	113451492018
SPT(16)	2786381748894042217	0 64 70 100 102 114 130 132 172 174 190 202 204 234 240 304	235016531396
TPT(14)	2786382070161535199	0 2 12 14 30 32 90 92 180 182 222 224 312 314	556284024378
STPT(10)	2786382279715686107	0 2 30 32 42 44 54 56 84 86	765838175286
TPT(14)	2786382330953831459	0 2 120 122 132 134 192 194 342 344 348 350 378 380	817076320638