Prime p₀= 2561628427294617101 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 124 2 40 2 28 2 106 2 70 2 10 2 (?)
a_n: 0 2 126 128 168 170 198 200 306 308 378 380 390 392
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: 392
Found by: conf [MM]
db: batch=82, k=14, 124 40 28 106 70 10

SPT(16)	2561627560697790787	0 42 54 66 112 132 156 166 210 220 244 264 310 322 334 376	-866596826314
SPT(16)	2561627637468341723	0 84 144 204 264 276 288 306 308 326 338 350 410 470 530 614	-789826275378
SPT(16)	2561627991699438379	0 4 22 34 58 124 138 174 238 274 288 354 378 390 408 412	-435595178722
STPT(10)	2561628048777482687	0 2 30 32 72 74 114 116 144 146	-378517134414
SPT(16)	2561628223500282647	0 12 50 62 96 110 120 126 146 152 162 176 210 222 260 272	-203794334454
SPT(20)	2561628352805573941	0 18 36 40 70 82 148 168 180 192 226 238 250 270 336 348 378 382 400 418	-74489043160
SPT(16)	2561628467084569627	0 10 42 82 84 94 120 142 162 184 210 220 222 262 294 304	39789952526
SPT(16)	2561628864904647953	0 18 60 90 116 128 158 186 188 216 246 258 284 314 356 374	437610030852
SPT(16)	2561629032025878967	0 12 70 76 174 192 210 232 234 256 274 292 390 396 454 466	604731261866
STPT(10)	2561629636985562329	0 2 18 20 30 32 42 44 60 62	1209690945228
STPT(10)	2561629996390447427	0 2 30 32 42 44 54 56 84 86	1569095830326