Prime p₀= 2534327754865902137 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 10 2 40 2 46 2 40 2 34 2 (?)
a_n: 0 2 60 62 72 74 114 116 162 164 204 206 240 242
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: [SG-FC] hl
db: batch=82, k=14, 58 10 40 46 40 34

SPT(16)	2534325440967223499	0 8 14 24 38 60 138 168 194 224 302 324 338 348 354 362	-2313898678638
TPT(14)	2534325678500597099	0 2 18 20 30 32 42 44 72 74 240 242 312 314	-2076365305038
SPT(16)	2534326592021673061	0 28 40 72 96 100 112 118 120 126 138 142 166 198 210 238	-1162844229076
SPT(16)	2534326772213475049	0 10 28 40 82 94 142 144 208 210 258 270 312 324 342 352	-982652427088
SPT(16)	2534327029936280531	0 2 12 18 36 78 86 138 140 192 200 242 260 266 276 278	-724929621606
SPT(16)	2534327182983867941	0 36 98 120 126 140 146 158 168 180 186 200 206 228 290 326	-571882034196
SPT(16)	2534328140244479273	0 24 38 60 120 144 158 210 248 300 314 338 398 420 434 458	385378577136
TPT(14)	2534328166521155789	0 2 30 32 42 44 78 80 120 122 198 200 222 224	411655253652
TPT(14)	2534328245430314621	0 2 30 32 120 122 246 248 378 380 390 392 408 410	490564412484
SPT(16)	2534328297202767581	0 6 8 18 42 98 120 132 146 158 180 236 260 270 272 278	542336865444
SPT(16)	2534328604509597221	0 2 8 30 32 56 78 86 132 140 162 186 188 210 216 218	849643695084