Prime p₀= 2953606848010790051 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 166 2 76 2 28 2 22 2 4 2 40 2 (?)
a_n: 0 2 168 170 246 248 276 278 300 302 306 308 348 350
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: 350
Found by: conf [MM]
db: batch=82, k=14, 166 76 28 22 4 40

SPT(16)	2953605442475128201	0 28 82 90 96 120 126 132 166 172 178 202 208 216 270 298	-1405535661850
SPT(16)	2953605566914674913	0 24 48 70 90 94 114 150 208 244 264 268 288 310 334 358	-1281096115138
STPT(10)	2953605794517857429	0 2 18 20 30 32 42 44 60 62	-1053492932622
SPT(16)	2953605875690185327	0 10 16 36 54 72 120 156 190 226 274 292 310 330 336 346	-972320604724
SPT(16)	2953605904635961837	0 34 52 64 72 162 202 210 226 234 274 364 372 384 402 436	-943374828214
SPT(16)	2953606704650971379	0 2 24 48 72 114 132 140 282 290 308 350 374 398 420 422	-143359818672
SPT(16)	2953606850475970457	0 2 6 14 30 72 104 114 182 192 224 266 282 290 294 296	2465180406
SPT(18)	2953607003717014717	0 22 24 42 106 160 172 190 196 210 216 234 246 300 364 382 384 406	155706224666
STPT(10)	2953607017653524117	0 2 30 32 42 44 54 56 84 86	169642734066
STPT(10)	2953607112981953957	0 2 12 14 42 44 72 74 84 86	264971163906
SPT(16)	2953607115089439899	0 60 74 80 90 104 138 164 168 194 228 242 252 258 272 332	267078649848