Prime p₀= 2327267019482500409 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 76 2 118 2 76 2 52 2 16 2 (?)
a_n: 0 2 72 74 150 152 270 272 348 350 402 404 420 422
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: hase
db: batch=81, k=14, 70 76 118 76 52 16

SPT(16)	2327266148657603449	0 30 52 70 132 154 184 220 384 420 450 472 534 552 574 604	-870824896960
TPT(14)	2327266370901140657	0 2 30 32 84 86 162 164 204 206 294 296 312 314	-648581359752
SPT(16)	2327266696683473977	0 40 94 106 120 136 180 222 304 346 390 406 420 432 486 526	-322799026432
SPT(16)	2327266707153712393	0 4 6 10 46 70 76 90 130 144 150 174 210 214 216 220	-312328788016
STPT(10)	2327266784909014967	0 2 12 14 72 74 132 134 144 146	-234573485442
SPT(16)	2327266940630942029	0 4 54 88 100 102 150 174 178 202 250 252 264 298 348 352	-78851558380
SPT(16)	2327267118679295339	0 2 32 42 78 92 98 114 128 144 150 164 200 210 240 242	99196794930
STPT(10)	2327267273956706927	0 2 24 26 42 44 60 62 84 86	254474206518
STPT(10)	2327267684309889239	0 2 78 80 120 122 162 164 240 242	664827388830
SPT(16)	2327267942231695349	0 14 38 90 194 252 278 318 344 384 410 468 572 624 648 662	922749194940
SPT(16)	2327267980847227157	0 24 80 120 132 176 182 234 452 504 510 554 566 606 662 686	961364726748