Prime p₀= 2534328245430314621 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 88 2 124 2 130 2 10 2 16 2 (?)
a_n: 0 2 30 32 120 122 246 248 378 380 390 392 408 410
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: 410
Found by: [SG-FC] hl
db: batch=82, k=14, 28 88 124 130 10 16

SPT(16)	2534326772213475049	0 10 28 40 82 94 142 144 208 210 258 270 312 324 342 352	-1473216839572
SPT(16)	2534327029936280531	0 2 12 18 36 78 86 138 140 192 200 242 260 266 276 278	-1215494034090
SPT(16)	2534327182983867941	0 36 98 120 126 140 146 158 168 180 186 200 206 228 290 326	-1062446446680
TPT(14)	2534327754865902137	0 2 60 62 72 74 114 116 162 164 204 206 240 242	-490564412484
SPT(16)	2534328140244479273	0 24 38 60 120 144 158 210 248 300 314 338 398 420 434 458	-105185835348
TPT(14)	2534328166521155789	0 2 30 32 42 44 78 80 120 122 198 200 222 224	-78909158832
SPT(16)	2534328297202767581	0 6 8 18 42 98 120 132 146 158 180 236 260 270 272 278	51772452960
SPT(16)	2534328604509597221	0 2 8 30 32 56 78 86 132 140 162 186 188 210 216 218	359079282600
SPT(16)	2534328783932377543	0 48 94 100 114 124 126 166 228 268 270 280 294 300 346 394	538502062922
SPT(16)	2534328806642084251	0 18 42 72 88 130 142 172 186 216 228 270 286 316 340 358	561211769630
STPT(10)	2534329109282424869	0 2 18 20 30 32 42 44 60 62	863852110248