Prime p₀= 2028831710920015187 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 70 2 64 2 82 2 46 2 10 2 (?)
a_n: 0 2 42 44 114 116 180 182 264 266 312 314 324 326
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: 326
Found by: Landjunge
db: batch=80, k=14, 40 70 64 82 46 10

STPT(10)	2028829535391921539	0 2 12 14 90 92 168 170 180 182	-2175528093648
TPT(14)	2028829567367405849	0 2 60 62 102 104 132 134 168 170 222 224 300 302	-2143552609338
TPT(14)	2028829913415906779	0 2 78 80 90 92 162 164 168 170 180 182 222 224	-1797504108408
TPT(14)	2028831367904271977	0 2 54 56 102 104 114 116 132 134 210 212 252 254	-343015743210
STPT(10)	2028831607090671671	0 2 36 38 78 80 120 122 156 158	-103829343516
SPT(16)	2028831679559643677	0 14 24 32 42 50 60 92 132 164 174 182 192 200 210 224	-31360371510
SPT(16)	2028831736138414421	0 8 18 32 68 92 240 260 330 350 498 522 558 572 582 590	25218399234
STPT(10)	2028831898321165097	0 2 30 32 42 44 54 56 84 86	187401149910
SPT(16)	2028832580104748053	0 6 84 88 138 186 216 228 406 418 448 496 546 550 628 634	869184732866
SPT(16)	2028832654697413189	0 4 30 78 100 214 234 270 322 358 378 492 514 562 588 592	943777398002
SPT(16)	2028832950598615627	0 6 30 60 64 72 96 120 166 190 214 222 226 256 280 286	1239678600440