Prime p₀= 2309222064535419497 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 46 2 40 2 106 2 22 2 4 2 (?)
a_n: 0 2 72 74 120 122 162 164 270 272 294 296 300 302
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: 302
Found by: Landjunge
db: batch=81, k=14, 70 46 40 106 22 4

STPT(10)	2309221366300325777	0 2 24 26 42 44 60 62 84 86	-698235093720
SPT(16)	2309221678777169753	0 38 50 60 108 120 126 134 150 158 164 176 224 234 246 284	-385758249744
STPT(10)	2309221721057891699	0 2 42 44 90 92 138 140 180 182	-343477527798
SPT(16)	2309221761149736779	0 24 78 90 104 164 192 198 224 230 258 318 332 344 398 422	-303385682718
SPT(16)	2309221968590585911	0 18 22 52 58 70 88 126 172 210 228 240 246 276 280 298	-95944833586
SPT(18)	2309222025905741137	0 6 16 24 34 90 112 154 156 190 192 234 256 312 322 330 340 346	-38629678360
SPT(16)	2309222071349221643	0 18 30 44 80 90 108 156 158 206 224 234 270 284 296 314	6813802146
SPT(16)	2309222080502542831	0 30 36 120 132 178 190 226 252 288 300 346 358 442 448 478	15967123334
SPT(16)	2309222184858316667	0 2 90 92 132 144 174 206 210 242 272 284 324 326 414 416	120322897170
STPT(10)	2309222191157302241	0 2 6 8 18 20 30 32 36 38	126621882744
SPT(18)	2309223027268930891	0 6 28 40 42 46 60 66 70 108 112 118 132 136 138 150 172 178	962733511394