Prime p₀= 2312970650929326317 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 70 2 28 2 4 2 28 2 (?)
a_n: 0 2 12 14 42 44 114 116 144 146 150 152 180 182
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: 182
Found by: Orange Kid
db: batch=81, k=14, 10 28 70 28 4 28

STPT(10)	2312969478111177209	0 2 18 20 30 32 42 44 60 62	-1172818149108
SPT(16)	2312969510163149779	0 78 120 154 172 198 214 252 310 348 364 390 408 442 484 562	-1140766176538
SPT(16)	2312970045778483499	0 2 50 78 90 102 122 140 150 168 188 200 212 240 288 290	-605150842818
STPT(10)	2312970267144744971	0 2 30 32 78 80 126 128 156 158	-383784581346
STPT(10)	2312970397743237941	0 2 36 38 78 80 120 122 156 158	-253186088376
TPT(14)	2312970636421451639	0 2 12 14 48 50 78 80 90 92 138 140 162 164	-14507874678
SPT(16)	2312970952218244973	0 18 26 30 84 98 254 260 264 270 426 440 494 498 506 524	301288918656
STPT(10)	2312971237548599891	0 2 6 8 48 50 90 92 96 98	586619273574
SPT(16)	2312971844669593337	0 6 32 42 54 86 222 242 294 314 450 482 494 504 530 536	1193740267020
STPT(10)	2312972283995501657	0 2 42 44 72 74 102 104 144 146	1633066175340
STPT(10)	2312972299422958907	0 2 24 26 42 44 60 62 84 86	1648493632590