Prime p₀= 2854786914853353461 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 22 2 28 2 28 2 34 2 58 2 (?)
a_n: 0 2 36 38 60 62 90 92 120 122 156 158 216 218
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: 218
Found by: JayPi
db: batch=82, k=14, 34 22 28 28 34 58

SPT(16)	2854786086835498399	0 30 42 64 70 72 94 100 132 138 160 162 168 190 202 232	-828017855062
SPT(16)	2854786153666475087	0 14 20 44 56 90 156 182 264 290 356 390 402 426 432 446	-761186878374
STPT(10)	2854786342417294847	0 2 42 44 72 74 102 104 144 146	-572436058614
SPT(13)	2854786483116600839	0 24 48 108 210 228 234 240 258 360 420 444 468	-431736752622
STPT(10)	2854786552893087467	0 2 30 32 72 74 114 116 144 146	-361960265994
SPT(16)	2854786717702571551	0 100 120 126 172 180 208 246 292 330 358 366 412 418 438 538	-197150781910
STPT(10)	2854786921500762329	0 2 48 50 90 92 132 134 180 182	6647408868
STPT(10)	2854787145615080867	0 2 42 44 102 104 162 164 204 206	230761727406
SPT(16)	2854787354309640889	0 58 150 172 178 222 244 262 300 318 340 384 390 412 504 562	439456287428
SPT(16)	2854787947865413303	0 18 24 46 66 78 108 130 174 196 226 238 258 280 286 304	1033012059842
STPT(10)	2854788093951828401	0 2 6 8 48 50 90 92 96 98	1179098474940