Prime p₀= 2620918907646798299 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 58 2 136 2 112 2 106 2 40 2 (?)
a_n: 0 2 30 32 90 92 228 230 342 344 450 452 492 494
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: 494
Found by: [SG-FC] hl
db: batch=82, k=14, 28 58 136 112 106 40

TPT(14)	2620918020261800687	0 2 42 44 72 74 234 236 240 242 264 266 282 284	-887384997612
SPT(16)	2620918098541679857	0 34 42 46 70 82 154 172 204 222 294 306 330 334 342 376	-809105118442
SPT(16)	2620918226847597451	0 10 36 40 42 46 52 60 112 120 126 130 132 136 162 172	-680799200848
STPT(10)	2620918633208016677	0 2 30 32 42 44 54 56 84 86	-274438781622
SPT(16)	2620918675875291157	0 4 42 64 90 130 132 144 160 172 174 214 240 262 300 304	-231771507142
STPT(10)	2620918867880550227	0 2 12 14 42 44 72 74 84 86	-39766248072
SPT(16)	2620919053626636317	0 14 32 36 66 74 92 102 104 114 132 140 170 174 192 206	145979838018
STPT(10)	2620919106827801357	0 2 30 32 42 44 54 56 84 86	199181003058
SPT(16)	2620919300361511489	0 18 42 58 90 132 142 148 264 270 280 322 354 370 394 412	392714713190
SPT(16)	2620919579089502261	0 2 32 86 168 212 218 240 308 330 336 380 462 516 546 548	671442703962
STPT(10)	2620919622309316919	0 2 42 44 90 92 138 140 180 182	714662518620