Prime p₀= 3024233605460065637 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 130 2 196 2 10 2 118 2 70 2 4 2 (?)
a_n: 0 2 132 134 330 332 342 344 462 464 534 536 540 542
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: 542
Found by: Asgard2022
db: batch=82, k=14, 130 196 10 118 70 4

SPT(16)	3024230070877370821	0 102 120 156 180 198 222 226 252 256 280 298 322 358 376 478	-3534582694816
SPT(16)	3024230226166510901	0 2 18 36 60 66 72 128 150 206 212 218 242 260 276 278	-3379293554736
SPT(16)	3024231155390256697	0 4 6 34 84 112 114 124 132 142 144 172 222 250 252 256	-2450069808940
SPT(16)	3024231326384650511	0 26 68 86 108 140 176 182 246 252 288 320 342 360 402 428	-2279075415126
SPT(13)	3024233370709472203	0 24 60 90 126 144 150 156 174 210 240 276 300	-234750593434
STPT(10)	3024233406364551089	0 2 42 44 60 62 78 80 120 122	-199095514548
STPT(10)	3024234174699093701	0 2 36 38 78 80 120 122 156 158	569239028064
SPT(18)	3024234429316211803	0 6 28 40 48 84 118 150 160 174 184 216 250 286 294 306 328 334	823856146166
STPT(10)	3024235052136582341	0 2 36 38 78 80 120 122 156 158	1446676516704
SPT(16)	3024235212022310047	0 34 66 90 130 136 156 214 222 280 300 306 346 370 402 436	1606562244410
SPT(16)	3024235398096609503	0 6 20 80 98 140 156 174 200 218 234 276 294 354 368 374	1792636543866