Prime p₀= 2230071452867808467 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 136 2 100 2 34 2 28 2 22 2 (?)
a_n: 0 2 84 86 222 224 324 326 360 362 390 392 414 416
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: 416
Found by: eclipse99
db: batch=81, k=14, 82 136 100 34 28 22

SPT(16)	2230069484273831149	0 22 24 94 112 138 148 204 208 264 274 300 318 388 390 412	-1968593977318
SPT(16)	2230069757897849617	0 10 12 16 24 136 156 162 184 190 210 322 330 334 336 346	-1694969958850
STPT(10)	2230069969928565137	0 2 90 92 102 104 114 116 204 206	-1482939243330
STPT(10)	2230070512344415121	0 2 96 98 108 110 120 122 216 218	-940523393346
STPT(10)	2230070793690672311	0 2 36 38 78 80 120 122 156 158	-659177136156
SPT(16)	2230071149620469339	0 8 30 62 92 104 114 120 182 188 198 210 240 272 294 302	-303247339128
SPT(16)	2230071615031358957	0 26 84 96 102 122 144 152 234 242 264 284 290 302 360 386	162163550490
SPT(16)	2230071719643400729	0 4 12 24 52 154 174 214 258 298 318 420 448 460 468 472	266775592262
STPT(10)	2230072104638376881	0 2 36 38 78 80 120 122 156 158	651770568414
STPT(12)	2230072236446200829	0 2 12 14 42 44 60 62 90 92 102 104	783578392362
STPT(10)	2230072484745927749	0 2 48 50 90 92 132 134 180 182	1031878119282