Prime p₀= 2666306757806555261 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 4 2 58 2 10 2 28 2 10 2 (?)
a_n: 0 2 60 62 66 68 126 128 138 140 168 170 180 182
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: 182
Found by: [SG-FC] hl
db: batch=82, k=14, 58 4 58 10 28 10

STPT(10)	2666305213072802657	0 2 30 32 72 74 114 116 144 146	-1544733752604
STPT(10)	2666305543606713077	0 2 24 26 42 44 60 62 84 86	-1214199842184
STPT(10)	2666305554170265977	0 2 54 56 72 74 90 92 144 146	-1203636289284
SPT(16)	2666305694677856087	0 44 50 72 90 120 182 194 240 252 314 344 362 384 390 434	-1063128699174
SPT(16)	2666305824357715607	0 6 14 26 42 90 92 144 212 264 266 314 330 342 350 356	-933448839654
SPT(16)	2666305968895325513	0 14 18 54 84 86 150 158 246 254 318 320 350 386 390 404	-788911229748
STPT(10)	2666307075918257657	0 2 30 32 72 74 114 116 144 146	318111702396
STPT(10)	2666307318397694999	0 2 18 20 30 32 42 44 60 62	560591139738
STPT(10)	2666307348548905949	0 2 18 20 30 32 42 44 60 62	590742350688
SPT(16)	2666307564652247861	0 8 20 78 108 116 122 126 182 186 192 200 230 288 300 308	806845692600
STPT(10)	2666307777857127659	0 2 48 50 90 92 132 134 180 182	1020050572398