Prime p₀= 2384711258249009771 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 16 2 40 2 64 2 22 2 46 2 (?)
a_n: 0 2 30 32 48 50 90 92 156 158 180 182 228 230
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: 230
Found by: ChUcK
db: batch=81, k=14, 28 16 40 64 22 46

SPT(18)	2384709685385682121	0 18 22 46 52 60 90 132 136 162 166 208 238 246 252 276 280 298	-1572863327650
STPT(10)	2384710078576119389	0 2 18 20 30 32 42 44 60 62	-1179672890382
TPT(14)	2384710190046477857	0 2 54 56 210 212 282 284 300 302 324 326 342 344	-1068202531914
STPT(12)	2384710215333282371	0 2 78 80 96 98 120 122 138 140 216 218	-1042915727400
SPT(18)	2384710470774290027	0 14 20 42 54 92 122 140 152 174 186 204 234 272 284 306 312 326	-787474719744
SPT(16)	2384710617891462359	0 2 20 42 50 72 80 104 108 132 140 162 170 192 210 212	-640357547412
STPT(10)	2384711304437043467	0 2 54 56 72 74 90 92 144 146	46188033696
STPT(12)	2384711331383101997	0 2 24 26 84 86 90 92 150 152 174 176	73134092226
SPT(16)	2384711336355913211	0 20 26 72 78 80 182 212 216 246 348 350 356 402 408 428	78106903440
SPT(16)	2384711424937523051	0 18 38 56 62 68 86 96 242 252 270 276 282 300 320 338	166688513280
SPT(16)	2384711778037036769	0 38 48 110 168 242 252 282 308 338 348 422 480 542 552 590	519788026998