Prime p₀= 2340629429586080987 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 70 2 76 2 82 2 76 2 10 2 (?)
a_n: 0 2 30 32 102 104 180 182 264 266 342 344 354 356
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: 356
Found by: Iril
db: batch=81, k=14, 28 70 76 82 76 10

SPT(16)	2340626938008171887	0 54 74 110 116 132 152 156 200 204 224 240 246 282 302 356	-2491577909100
SPT(16)	2340627039837724657	0 10 24 34 60 66 70 84 112 126 130 136 162 172 186 196	-2389748356330
STPT(10)	2340627820100789081	0 2 30 32 78 80 126 128 156 158	-1609485291906
SPT(16)	2340628124644802779	0 22 108 138 142 184 208 220 252 264 288 330 334 364 450 472	-1304941278208
STPT(10)	2340628689120161117	0 2 60 62 72 74 84 86 144 146	-740465919870
SPT(16)	2340628799165676469	0 30 72 112 132 162 184 202 282 300 322 352 372 412 454 484	-630420404518
STPT(10)	2340629595098473571	0 2 6 8 48 50 90 92 96 98	165512392584
STPT(10)	2340629826132158381	0 2 6 8 18 20 30 32 36 38	396546077394
STPT(12)	2340629976984921749	0 2 12 14 72 74 78 80 138 140 150 152	547398840762
STPT(10)	2340630018439823021	0 2 6 8 18 20 30 32 36 38	588853742034
SPT(16)	2340630100346335277	0 6 44 62 102 126 156 182 204 230 260 284 324 342 380 386	670760254290