Prime p₀= 2815777630340991137 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 130 2 46 2 22 2 58 2 136 2 16 2 (?)
a_n: 0 2 132 134 180 182 204 206 264 266 402 404 420 422
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: 422
Found by: [SG-FC] hl
db: batch=82, k=14, 130 46 22 58 136 16

SPT(16)	2815776535789841333	0 30 84 98 114 140 156 198 206 248 264 290 306 320 374 404	-1094551149804
SPT(16)	2815776654836279993	0 20 74 84 104 108 134 138 146 150 176 180 200 210 264 284	-975504711144
SPT(16)	2815776679872428669	0 12 18 50 68 78 92 108 152 168 182 192 210 242 248 260	-950468562468
SPT(16)	2815776781405347619	0 54 60 70 82 100 118 144 208 234 252 270 282 292 298 352	-848935643518
STPT(10)	2815777117506093701	0 2 36 38 78 80 120 122 156 158	-512834897436
SPT(16)	2815777523206868117	0 20 32 36 74 132 174 182 234 242 284 342 380 384 396 416	-107134123020
SPT(18)	2815777664048829203	0 6 14 36 44 50 54 78 96 128 146 170 174 180 188 210 218 224	33707838066
STPT(10)	2815777952824932419	0 2 18 20 60 62 102 104 120 122	322483941282
SPT(16)	2815778444511027563	0 38 60 74 98 168 194 198 206 210 236 306 330 344 366 404	814170036426
STPT(10)	2815778518686309221	0 2 78 80 108 110 138 140 216 218	888345318084
SPT(13)	2815778529441860029	0 12 180 204 264 312 342 372 420 480 504 672 684	899100868892