Prime p₀= 2324040898388744411 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 190 2 88 2 190 2 166 2 16 2 (?)
a_n: 0 2 6 8 198 200 288 290 480 482 648 650 666 668
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: 668
Found by: vinn@[CNT]
db: batch=81, k=14, 4 190 88 190 166 16

SPT(16)	2324039997774868123	0 70 90 100 126 130 144 150 154 160 174 178 204 214 234 304	-900613876288
SPT(16)	2324040331504396849	0 4 28 54 88 112 114 130 222 238 240 264 298 324 348 352	-566884347562
STPT(10)	2324040390286647449	0 2 18 20 30 32 42 44 60 62	-508102096962
STPT(10)	2324040469972043321	0 2 36 38 78 80 120 122 156 158	-428416701090
STPT(10)	2324040682999651709	0 2 18 20 30 32 42 44 60 62	-215389092702
SPT(16)	2324040719955117127	0 24 66 72 90 126 174 186 250 262 310 346 364 370 412 436	-178433627284
SPT(16)	2324040935143239437	0 14 24 30 56 66 86 90 230 234 254 264 290 296 306 320	36754495026
STPT(10)	2324041023794555909	0 2 18 20 30 32 42 44 60 62	125405811498
STPT(10)	2324041267726304879	0 2 18 20 30 32 42 44 60 62	369337560468
SPT(16)	2324041455270135481	0 12 30 40 48 118 178 220 240 282 342 412 420 430 448 460	556881391070
TPT(14)	2324041713128764169	0 2 48 50 90 92 132 134 210 212 258 260 288 290	814740019758