Prime p₀= 2438569376095305569 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 22 2 64 2 40 2 16 2 40 2 (?)
a_n: 0 2 48 50 72 74 138 140 180 182 198 200 240 242
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: 242
Found by: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=14, 46 22 64 40 16 40

STPT(10)	2438568376848326417	0 2 30 32 60 62 90 92 120 122	-999246979152
STPT(10)	2438568679371102329	0 2 18 20 30 32 42 44 60 62	-696724203240
TPT(14)	2438568735981244859	0 2 42 44 102 104 108 110 150 152 168 170 192 194	-640114060710
SPT(16)	2438568745764290947	0 30 66 90 100 142 196 202 240 246 300 342 352 376 412 442	-630331014622
SPT(18)	2438568825880921117	0 126 160 172 186 226 270 300 304 402 406 436 480 520 534 546 580 706	-550214384452
SPT(16)	2438568902555156831	0 42 66 108 110 122 132 158 210 236 246 258 260 302 326 368	-473540148738
STPT(12)	2438569477115538251	0 2 36 38 90 92 156 158 210 212 246 248	101020232682
STPT(10)	2438569666201909151	0 2 6 8 18 20 30 32 36 38	290106603582
SPT(16)	2438569834745493947	0 2 36 50 102 176 200 212 240 252 276 350 402 416 450 452	458650188378
SPT(16)	2438570315293321999	0 48 60 84 114 130 144 238 300 394 408 424 454 478 490 538	939198016430
SPT(16)	2438570502292868197	0 30 34 46 90 112 150 156 190 196 234 256 300 312 316 346	1126197562628