Prime p₀= 2056733156754945701 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 40 2 130 2 34 2 148 2 58 2 (?)
a_n: 0 2 6 8 48 50 180 182 216 218 366 368 426 428
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: 428
Found by: Orange Kid
db: batch=80, k=14, 4 40 130 34 148 58

SPT(16)	2056731787470286951	0 72 76 78 90 112 168 178 180 190 246 268 280 282 286 358	-1369284658750
SPT(16)	2056732021517606071	0 16 60 72 106 130 196 202 366 372 438 462 496 508 552 568	-1135237339630
STPT(10)	2056732354537019447	0 2 120 122 222 224 324 326 444 446	-802217926254
SPT(16)	2056732673451029839	0 4 102 118 124 160 168 172 210 214 222 258 264 280 378 382	-483303915862
TPT(14)	2056732833399209087	0 2 12 14 90 92 174 176 504 506 594 596 600 602	-323355736614
STPT(10)	2056733066338543037	0 2 30 32 42 44 54 56 84 86	-90416402664
SPT(16)	2056733331477347461	0 22 30 52 60 66 156 162 256 262 352 358 366 388 396 418	174722401760
SPT(16)	2056733652350489633	0 6 26 50 80 96 120 146 240 266 290 306 336 360 380 386	495595543932
SPT(16)	2056733769959126903	0 38 80 98 108 134 156 194 210 248 270 296 306 324 366 404	613204181202
SPT(16)	2056733968250831159	0 8 42 92 108 132 224 234 248 258 350 374 390 440 474 482	811495885458
SPT(16)	2056734223593586961	0 2 6 36 56 72 78 90 98 110 116 132 152 182 186 188	1066838641260