Prime p₀= 2283261016107278411 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 58 2 88 2 70 2 28 2 58 2 (?)
a_n: 0 2 96 98 156 158 246 248 318 320 348 350 408 410
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: Orange Kid
db: batch=81, k=14, 94 58 88 70 28 58

TPT(14)	2283258917437355189	0 2 12 14 192 194 288 290 378 380 390 392 468 470	-2098669923222
STPT(10)	2283258972932591867	0 2 90 92 132 134 174 176 264 266	-2043174686544
SPT(16)	2283259577300181323	0 6 44 116 120 126 134 140 174 180 188 194 198 270 308 314	-1438807097088
SPT(16)	2283259752326858429	0 12 24 104 120 164 194 200 252 258 288 332 348 428 440 452	-1263780419982
STPT(10)	2283260405275884371	0 2 126 128 138 140 150 152 276 278	-610831394040
SPT(18)	2283260654747808173	0 18 26 44 60 110 114 168 188 306 326 380 384 434 450 468 476 494	-361359470238
SPT(16)	2283261099473448971	0 18 30 32 86 92 108 116 132 140 156 162 216 218 230 248	83366170560
SPT(16)	2283261117279989333	0 36 90 116 168 174 180 264 350 434 440 446 498 524 578 614	101172710922
STPT(10)	2283261811948868459	0 2 42 44 60 62 78 80 120 122	795841590048
SPT(16)	2283262112347868189	0 32 42 68 80 102 104 150 182 228 230 252 264 290 300 332	1096240589778
STPT(10)	2283262769658980687	0 2 30 32 42 44 54 56 84 86	1753551702276