Prime p₀= 2682193860703163951 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 124 2 28 2 52 2 28 2 64 2 82 2 (?)
a_n: 0 2 126 128 156 158 210 212 240 242 306 308 390 392
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: [SG-FC] hl
db: batch=82, k=14, 124 28 52 28 64 82

TPT(14)	2682192728922627467	0 2 30 32 42 44 72 74 84 86 162 164 222 224	-1131780536484
SPT(16)	2682193012154413171	0 40 52 66 162 196 222 232 240 250 276 310 406 420 432 472	-848548750780
SPT(16)	2682193263854367433	0 4 34 78 130 136 148 150 214 216 228 234 286 330 360 364	-596848796518
STPT(10)	2682193369969957157	0 2 30 32 72 74 114 116 144 146	-490733206794
STPT(10)	2682193500524769527	0 2 90 92 102 104 114 116 204 206	-360178394424
SPT(16)	2682193609229709041	0 20 56 78 90 110 140 158 210 228 258 278 290 312 348 368	-251473454910
SPT(16)	2682193892611771441	0 12 40 46 66 100 156 190 312 346 402 436 456 462 490 502	31908607490
SPT(16)	2682193898067328663	0 36 78 84 144 156 174 204 250 280 298 310 370 376 418 454	37364164712
SPT(16)	2682194224136507183	0 20 38 48 96 110 116 126 158 168 174 188 236 246 264 284	363433343232
STPT(10)	2682194239341689921	0 2 30 32 60 62 90 92 120 122	378638525970
STPT(10)	2682194333157635477	0 2 24 26 42 44 60 62 84 86	472454471526