Prime p₀= 2567082970285831607 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 304 2 28 2 10 2 40 2 154 2 (?)
a_n: 0 2 24 26 330 332 360 362 372 374 414 416 570 572
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: 572
Found by: [SG-FC] hl
db: batch=82, k=14, 22 304 28 10 40 154

STPT(10)	2567081722599573041	0 2 30 32 78 80 126 128 156 158	-1247686258566
TPT(14)	2567081791249069121	0 2 18 20 60 62 156 158 198 200 228 230 240 242	-1179036762486
STPT(10)	2567082088178685071	0 2 36 38 78 80 120 122 156 158	-882107146536
STPT(10)	2567082126045345479	0 2 18 20 30 32 42 44 60 62	-844240486128
SPT(16)	2567082454050319663	0 40 64 66 90 100 106 126 148 168 174 184 208 210 234 274	-516235511944
SPT(16)	2567082845198440991	0 2 8 30 36 60 78 108 140 170 188 212 218 240 246 248	-125087390616
TPT(14)	2567083212471027959	0 2 18 20 42 44 60 62 78 80 90 92 102 104	242185196352
STPT(10)	2567083364835850031	0 2 66 68 108 110 150 152 216 218	394550018424
SPT(16)	2567083760464008661	0 12 22 96 120 162 166 208 360 402 406 448 472 546 556 568	790178177054
SPT(18)	2567083902770362709	0 32 38 42 54 128 144 152 182 210 240 248 264 338 350 354 360 392	932484531102
TPT(14)	2567084193156607079	0 2 60 62 132 134 180 182 270 272 432 434 492 494	1222870775472