Prime p₀= 2980653426533527331 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 154 2 82 2 76 2 58 2 28 2 10 2 (?)
a_n: 0 2 156 158 240 242 318 320 378 380 408 410 420 422
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: 422
Found by: eclipse99
db: batch=82, k=14, 154 82 76 58 28 10

SPT(16)	2980652266034253677	0 32 60 72 80 126 194 206 270 282 350 396 404 416 444 476	-1160499273654
SPT(16)	2980652312188703431	0 6 52 82 88 126 166 168 310 312 352 390 396 426 472 478	-1114344823900
STPT(10)	2980652393897344919	0 2 18 20 30 32 42 44 60 62	-1032636182412
SPT(16)	2980652611552237367	0 20 32 42 104 120 144 194 252 302 326 342 404 414 426 446	-814981289964
SPT(16)	2980652740942577647	0 46 102 112 114 126 130 156 190 216 220 232 234 244 300 346	-685590949684
SPT(16)	2980653220709649619	0 28 54 60 94 114 144 184 318 358 388 408 442 448 474 502	-205823877712
SPT(16)	2980653441711577117	0 12 66 90 96 106 136 150 166 180 210 220 226 250 304 316	15178049786
SPT(16)	2980653473764643129	0 50 74 92 110 120 144 182 270 308 332 342 360 378 402 452	47231115798
STPT(10)	2980653608694663017	0 2 30 32 42 44 54 56 84 86	182161135686
SPT(16)	2980653638953974017	0 42 102 116 140 152 156 206 216 266 270 282 306 320 380 422	212420446686
STPT(10)	2980653833959237949	0 2 42 44 60 62 78 80 120 122	407425710618