Prime p₀= 2337009407857496597 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 70 2 76 2 28 2 100 2 124 2 (?)
a_n: 0 2 12 14 84 86 162 164 192 194 294 296 420 422
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: Orange Kid
db: batch=81, k=14, 10 70 76 28 100 124

SPT(16)	2337006654453809383	0 30 78 84 90 148 154 198 376 420 426 484 490 496 544 574	-2753403687214
SPT(16)	2337006902806197053	0 18 48 78 98 108 126 210 224 308 326 336 356 386 416 434	-2505051299544
STPT(10)	2337007648131860477	0 2 12 14 72 74 132 134 144 146	-1759725636120
STPT(10)	2337008250776488319	0 2 30 32 60 62 90 92 120 122	-1157081008278
SPT(16)	2337008673632541539	0 8 44 102 114 122 164 168 284 288 330 338 350 408 444 452	-734224955058
STPT(10)	2337009367661372177	0 2 42 44 72 74 102 104 144 146	-40196124420
TPT(14)	2337009802260415661	0 2 36 38 78 80 108 110 120 122 168 170 198 200	394402919064
STPT(10)	2337010087975495019	0 2 42 44 90 92 138 140 180 182	680117998422
SPT(16)	2337010259630060099	0 18 38 60 74 128 150 198 254 302 324 378 392 414 434 452	851772563502
SPT(16)	2337010938944127541	0 16 18 60 88 130 162 168 190 196 228 270 298 340 342 358	1531086630944
STPT(10)	2337011863999944917	0 2 30 32 60 62 90 92 120 122	2456142448320