Prime p₀= 2309881373351439521 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 52 2 76 2 46 2 82 2 76 2 (?)
a_n: 0 2 6 8 60 62 138 140 186 188 270 272 348 350
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: 350
Found by: Orange Kid
db: batch=81, k=14, 4 52 76 46 82 76

SPT(16)	2309879261104447621	0 10 18 36 46 52 72 96 112 136 156 162 172 190 198 208	-2112246991900
SPT(20)	2309880047920557379	0 42 82 102 130 154 168 172 190 238 264 312 330 334 348 372 400 420 460 502	-1325430882142
TPT(14)	2309880472343972039	0 2 30 32 282 284 288 290 330 332 402 404 408 410	-901007467482
SPT(16)	2309881036334106007	0 12 16 36 70 82 112 114 232 234 264 276 310 330 334 346	-337017333514
STPT(10)	2309881253840298947	0 2 12 14 42 44 72 74 84 86	-119511140574
STPT(10)	2309881277984003159	0 2 18 20 60 62 102 104 120 122	-95367436362
SPT(16)	2309881852787700157	0 52 66 136 142 156 180 222 250 292 316 330 336 406 420 472	479436260636
STPT(10)	2309882361096975011	0 2 6 8 48 50 90 92 96 98	987745535490
SPT(16)	2309882684505854461	0 66 70 78 108 112 126 132 136 142 156 160 190 198 202 268	1311154414940
SPT(16)	2309882898524485777	0 36 76 106 154 160 180 184 216 220 240 246 294 324 364 400	1525173046256
SPT(16)	2309883026086779007	0 36 60 64 90 112 142 144 172 174 204 226 252 256 280 316	1652735339486