Prime p₀= 2327266370901140657 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 52 2 76 2 40 2 88 2 16 2 (?)
a_n: 0 2 30 32 84 86 162 164 204 206 294 296 312 314
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: 314
Found by: hase
db: batch=81, k=14, 28 52 76 40 88 16

SPT(16)	2327265281904264517	0 4 46 60 72 100 114 132 184 202 216 244 256 270 312 316	-1088996876140
SPT(16)	2327265393929356037	0 6 42 80 86 122 150 174 212 236 264 300 306 344 380 386	-976971784620
STPT(10)	2327265489464207231	0 2 30 32 60 62 90 92 120 122	-881436933426
STPT(10)	2327265607227468041	0 2 36 38 78 80 120 122 156 158	-763673672616
SPT(16)	2327265849572084089	0 40 78 114 148 184 198 208 240 250 264 300 334 370 408 448	-521329056568
SPT(16)	2327266148657603449	0 30 52 70 132 154 184 220 384 420 450 472 534 552 574 604	-222243537208
SPT(16)	2327266696683473977	0 40 94 106 120 136 180 222 304 346 390 406 420 432 486 526	325782333320
SPT(16)	2327266707153712393	0 4 6 10 46 70 76 90 130 144 150 174 210 214 216 220	336252571736
STPT(10)	2327266784909014967	0 2 12 14 72 74 132 134 144 146	414007874310
SPT(16)	2327266940630942029	0 4 54 88 100 102 150 174 178 202 250 252 264 298 348 352	569729801372
TPT(14)	2327267019482500409	0 2 72 74 150 152 270 272 348 350 402 404 420 422	648581359752