Prime p₀= 2362619442465056351 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 208 2 46 2 28 2 16 2 112 2 64 2 (?)
a_n: 0 2 210 212 258 260 288 290 306 308 420 422 486 488
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: 488
Found by: ChUcK
db: batch=81, k=14, 208 46 28 16 112 64

SPT(16)	2362617919585547567	0 32 80 104 126 164 182 216 290 324 342 380 402 426 474 506	-1522879508784
SPT(16)	2362618221162868133	0 24 38 44 86 98 134 156 188 210 246 258 300 306 320 344	-1221302188218
STPT(10)	2362618690997793209	0 2 42 44 60 62 78 80 120 122	-751467263142
SPT(16)	2362618785768540227	0 14 42 80 92 96 110 132 194 216 230 234 246 284 312 326	-656696516124
SPT(16)	2362618863787616107	0 10 84 114 142 154 174 192 202 220 240 252 280 310 384 394	-578677440244
STPT(10)	2362619194451679221	0 2 36 38 78 80 120 122 156 158	-248013377130
STPT(10)	2362619505611233109	0 2 48 50 90 92 132 134 180 182	63146176758
SPT(16)	2362619658634371727	0 16 34 54 96 114 174 184 222 232 292 310 352 372 390 406	216169315376
SPT(16)	2362619775300427969	0 22 28 34 58 100 120 162 280 322 342 384 408 414 420 442	332835371618
SPT(16)	2362619892043040831	0 26 56 90 116 120 152 158 210 216 248 252 278 312 342 368	449577984480
SPT(16)	2362620020169848741	0 56 60 78 92 122 128 168 200 240 246 276 290 308 312 368	577704792390