Prime p₀= 2562617620063177349 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 4 2 82 2 28 2 58 2 76 2 (?)
a_n: 0 2 72 74 78 80 162 164 192 194 252 254 330 332
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: 332
Found by: Orange Kid
db: batch=82, k=14, 70 4 82 28 58 76

SPT(16)	2562616686797542033	0 16 46 60 84 106 130 154 180 204 228 250 274 288 318 334	-933265635316
STPT(10)	2562616896655855601	0 2 6 8 168 170 330 332 336 338	-723407321748
SPT(16)	2562617017233503701	0 28 48 70 72 106 118 120 148 150 162 196 198 220 240 268	-602829673648
STPT(10)	2562617224385629517	0 2 30 32 42 44 54 56 84 86	-395677547832
SPT(16)	2562617277573695267	0 2 6 32 74 120 126 176 210 260 266 312 354 380 384 386	-342489482082
TPT(14)	2562617596473523289	0 2 42 44 150 152 162 164 180 182 198 200 288 290	-23589654060
STPT(10)	2562618067441084577	0 2 12 14 42 44 72 74 84 86	447377907228
SPT(16)	2562618128314370047	0 42 52 70 82 96 120 124 132 136 160 174 186 204 214 256	508251192698
SPT(16)	2562618141467859661	0 30 60 106 112 130 162 172 180 190 222 240 246 292 322 352	521404682312
SPT(16)	2562618211399036937	0 42 72 80 156 210 300 312 320 332 422 476 552 560 590 632	591335859588
SPT(16)	2562618471725393233	0 10 54 66 78 88 144 154 270 280 336 346 358 370 414 424	851662215884