Prime p₀= 2909952233341076897 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 10 2 16 2 40 2 4 2 40 2 (?)
a_n: 0 2 42 44 54 56 72 74 114 116 120 122 162 164
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: 164
Found by: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=14, 40 10 16 40 4 40

TPT(14)	2909950848559636097	0 2 12 14 54 56 144 146 150 152 270 272 282 284	-1384781440800
SPT(16)	2909951131668808349	0 20 38 42 50 78 140 188 192 240 302 330 338 342 360 380	-1101672268548
SPT(16)	2909951226626050829	0 18 32 104 110 150 188 224 228 264 302 342 348 420 434 452	-1006715026068
SPT(16)	2909951311197711959	0 14 44 62 72 84 90 110 234 254 260 272 282 300 330 344	-922143364938
SPT(16)	2909951321706856409	0 8 20 38 50 68 90 98 132 140 162 180 192 210 222 230	-911634220488
STPT(10)	2909951886622635521	0 2 6 8 18 20 30 32 36 38	-346718441376
SPT(16)	2909952418147079471	0 26 36 80 132 162 210 222 260 272 320 350 402 446 456 482	184806002574
SPT(16)	2909952782529941101	0 6 18 42 78 106 120 156 202 238 252 280 316 340 352 358	549188864204
STPT(10)	2909952943105668281	0 2 6 8 48 50 90 92 96 98	709764591384
SPT(16)	2909952964567148233	0 4 6 16 28 54 76 96 118 138 160 186 198 208 210 214	731226071336
SPT(16)	2909953111977156923	0 6 66 80 116 146 170 186 194 210 234 264 300 314 374 380	878636080026