Prime p₀= 2130956900142394019 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 130 2 34 2 40 2 88 2 46 2 22 2 (?)
a_n: 0 2 132 134 168 170 210 212 300 302 348 350 372 374
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: 374
Found by: suriv
db: batch=80, k=14, 130 34 40 88 46 22

SPT(16)	2130955505973719311	0 6 22 76 90 102 112 120 178 186 196 208 222 276 292 298	-1394168674708
STPT(10)	2130955621857187127	0 2 30 32 72 74 114 116 144 146	-1278285206892
SPT(16)	2130955679760598937	0 24 26 36 56 80 162 212 234 284 366 390 410 420 422 446	-1220381795082
SPT(16)	2130955763949283097	0 26 32 50 60 72 102 110 126 134 164 176 186 204 210 236	-1136193110922
STPT(10)	2130955772967767927	0 2 24 26 42 44 60 62 84 86	-1127174626092
SPT(16)	2130956780735487689	0 18 24 74 92 102 228 252 260 284 410 420 438 488 494 512	-119406906330
STPT(10)	2130956942484269951	0 2 6 8 18 20 30 32 36 38	42341875932
SPT(16)	2130957108082479427	0 6 10 24 46 64 84 126 154 196 216 234 256 270 274 280	207940085408
SPT(16)	2130957174877748579	0 42 98 134 174 180 228 278 384 434 482 488 528 564 620 662	274735354560
SPT(16)	2130957228480277069	0 28 52 60 124 168 190 220 372 402 424 468 532 540 564 592	328337883050
TPT(14)	2130957341963274239	0 2 30 32 42 44 48 50 162 164 198 200 270 272	441820880220