Prime p₀= 2562778584873311951 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 40 2 34 2 118 2 70 2 16 2 (?)
a_n: 0 2 108 110 150 152 186 188 306 308 378 380 396 398
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: 398
Found by: RFGuy_KCCO
db: batch=82, k=14, 106 40 34 118 70 16

STPT(10)	2562777196077322517	0 2 42 44 72 74 102 104 144 146	-1388795989434
SPT(16)	2562777315710607913	0 24 60 64 66 108 124 130 144 150 166 208 210 214 250 274	-1269162704038
STPT(10)	2562777839584974857	0 2 24 26 42 44 60 62 84 86	-745288337094
SPT(16)	2562778013258203339	0 4 18 22 48 78 88 114 118 144 154 184 210 214 228 232	-571615108612
SPT(16)	2562778072748486389	0 24 30 112 154 214 220 264 298 342 348 408 450 532 538 562	-512124825562
SPT(16)	2562778284741910979	0 20 42 50 84 132 150 188 204 242 260 308 342 350 372 392	-300131400972
SPT(16)	2562778736966907409	0 48 82 88 114 130 144 174 208 238 252 268 294 300 334 382	152093595458
SPT(16)	2562778776809606287	0 66 70 72 84 160 196 226 270 300 336 412 424 426 430 496	191936294336
SPT(16)	2562778935650316937	0 10 54 136 144 156 184 196 210 222 250 262 270 352 396 406	350777004986
SPT(16)	2562779285783198719	0 18 24 48 90 100 132 174 178 220 252 262 304 328 334 352	700909886768
STPT(12)	2562779696661898619	0 2 12 14 42 44 48 50 78 80 90 92	1111788586668