Prime p₀= 2015875665394131509 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 4 2 82 2 4 2 28 2 130 2 (?)
a_n: 0 2 42 44 48 50 132 134 138 140 168 170 300 302
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: 302
Found by: Orange Kid
db: batch=80, k=14, 40 4 82 4 28 130

TPT(14)	2015874659981155079	0 2 12 14 42 44 108 110 120 122 150 152 168 170	-1005412976430
SPT(16)	2015874698975500283	0 78 86 126 128 138 170 216 218 264 296 306 308 348 356 434	-966418631226
SPT(16)	2015874818848162379	0 38 42 50 60 104 132 144 188 200 228 272 282 290 294 332	-846545969130
STPT(10)	2015874885319599089	0 2 30 32 60 62 90 92 120 122	-780074532420
SPT(16)	2015875040261329903	0 60 64 66 94 130 154 168 196 210 234 270 298 300 304 364	-625132801606
SPT(16)	2015875612322712289	0 4 34 64 70 100 102 142 330 370 372 402 408 438 468 472	-53071419220
SPT(18)	2015876259885868771	0 30 40 42 52 108 166 180 208 240 268 282 340 396 406 408 418 448	594491737262
STPT(10)	2015876601960385907	0 2 30 32 42 44 54 56 84 86	936566254398
SPT(16)	2015876771051773771	0 18 36 70 88 130 148 150 166 168 186 228 246 280 298 316	1105657642262
STPT(10)	2015877109023827261	0 2 36 38 78 80 120 122 156 158	1443629695752
SPT(16)	2015877462379388441	0 38 42 60 66 120 126 138 140 152 158 212 218 236 240 278	1796985256932