Prime p₀= 2409603439144428347 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 172 2 76 2 16 2 22 2 4 2 22 2 (?)
a_n: 0 2 174 176 252 254 270 272 294 296 300 302 324 326
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: 326
Found by: [SG-FC] hl
db: batch=82, k=14, 172 76 16 22 4 22

STPT(12)	2409602688175876679	0 2 48 50 78 80 180 182 210 212 258 260	-750968551668
SPT(16)	2409602816535634633	0 18 30 40 88 148 156 184 210 238 246 306 354 364 376 394	-622608793714
SPT(16)	2409602850633336691	0 6 28 40 100 138 160 196 210 246 268 306 366 378 400 406	-588511091656
STPT(10)	2409602994572146739	0 2 42 44 60 62 78 80 120 122	-444572281608
SPT(16)	2409603174293046491	0 6 26 30 50 62 90 116 156 182 210 222 242 246 266 272	-264851381856
STPT(10)	2409603216948494921	0 2 6 8 48 50 90 92 96 98	-222195933426
STPT(10)	2409603746580405227	0 2 30 32 72 74 114 116 144 146	307435976880
STPT(10)	2409603747575416937	0 2 30 32 42 44 54 56 84 86	308430988590
SPT(16)	2409604883137141267	0 154 160 162 244 256 264 292 294 322 330 342 424 426 432 586	1443992712920
SPT(16)	2409605620419118531	0 28 88 138 156 196 198 208 258 268 270 310 328 378 438 466	2181274690184
SPT(16)	2409605767046039479	0 10 40 54 88 124 142 150 172 180 198 234 268 282 312 322	2327901611132