Prime p₀= 2730963806738559311 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 40 2 16 2 10 2 16 2 22 2 (?)
a_n: 0 2 36 38 78 80 96 98 108 110 126 128 150 152
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: 152
Found by: JayPi
db: batch=82, k=14, 34 40 16 10 16 22

SPT(16)	2730962809763605457	0 14 32 42 56 122 134 152 234 252 264 330 344 354 372 386	-996974953854
TPT(14)	2730962859445299077	0 2 54 56 60 62 144 146 210 212 390 392 420 422	-947293260234
STPT(10)	2730962997973383989	0 2 12 14 30 32 48 50 60 62	-808765175322
SPT(16)	2730963089987528293	0 6 28 46 66 88 100 118 126 144 156 178 198 216 238 244	-716751031018
TPT(14)	2730963092515270157	0 2 30 32 270 272 282 284 360 362 444 446 462 464	-714223289154
SPT(16)	2730963581634000199	0 4 18 48 64 82 142 172 240 270 330 348 364 394 408 412	-225104559112
STPT(10)	2730963878238354917	0 2 54 56 72 74 90 92 144 146	71499795606
STPT(12)	2730964132510292177	0 2 30 32 72 74 102 104 144 146 174 176	325771732866
TPT(14)	2730964522773675491	0 2 18 20 30 32 120 122 156 158 186 188 198 200	716035116180
SPT(16)	2730964531913574823	0 16 40 66 70 84 154 180 184 210 280 294 298 324 348 364	725175015512
SPT(16)	2730965303983885399	0 22 34 48 72 78 114 124 198 208 244 250 274 288 300 322	1497245326088