Prime p₀= 2561683207546384037 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 70 2 154 2 22 2 16 2 136 2 (?)
a_n: 0 2 42 44 114 116 270 272 294 296 312 314 450 452
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: 452
Found by: conf [MM]
db: batch=82, k=14, 40 70 154 22 16 136

STPT(10)	2561681820627196217	0 2 30 32 42 44 54 56 84 86	-1386919187820
SPT(16)	2561682383461889089	0 42 100 108 138 154 174 178 264 268 288 304 334 342 400 442	-824084494948
TPT(14)	2561682555658585757	0 2 12 14 114 116 192 194 210 212 294 296 312 314	-651887798280
STPT(10)	2561682642101219639	0 2 30 32 60 62 90 92 120 122	-565445164398
SPT(16)	2561682916847815687	0 42 70 90 124 154 174 252 274 352 372 402 436 456 484 526	-290698568350
SPT(16)	2561683172858040221	0 12 18 110 128 138 156 168 170 182 200 210 228 320 326 338	-34688343816
STPT(10)	2561683659895687487	0 2 30 32 42 44 54 56 84 86	452349303450
SPT(16)	2561683744974940301	0 18 30 126 146 192 248 276 332 360 416 462 482 578 590 608	537428556264
SPT(16)	2561684078704838489	0 24 98 174 180 198 240 282 290 332 374 392 398 474 548 572	871158454452
SPT(16)	2561684219325703597	0 10 16 82 90 142 166 180 196 210 234 286 294 360 366 376	1011779319560
SPT(16)	2561684582977303093	0 58 66 100 156 190 204 216 298 310 324 358 414 448 456 514	1375430919056