Prime p₀= 2556442398717178379 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 34 2 52 2 34 2 88 2 22 2 (?)
a_n: 0 2 42 44 78 80 132 134 168 170 258 260 282 284
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: 284
Found by: [SG-FC] hl
db: batch=82, k=14, 40 34 52 34 88 22

SPT(16)	2556441177435960169	0 12 18 40 42 64 70 84 88 102 108 130 132 154 160 172	-1221281218210
SPT(16)	2556441734369651719	0 24 64 78 100 108 112 148 294 330 334 342 364 378 418 442	-664347526660
STPT(10)	2556441751603736597	0 2 30 32 42 44 54 56 84 86	-647113441782
SPT(16)	2556441944222859767	0 62 74 84 86 104 120 140 216 236 252 270 272 282 294 356	-454494318612
SPT(16)	2556441994335381337	0 70 94 150 154 160 202 204 280 282 324 330 334 390 414 484	-404381797042
STPT(10)	2556442250903042399	0 2 18 20 60 62 102 104 120 122	-147814135980
TPT(14)	2556442573726162859	0 2 12 14 48 50 90 92 108 110 150 152 192 194	175008984480
SPT(16)	2556442682016871639	0 28 40 52 94 102 132 150 232 250 280 288 330 342 354 382	283299693260
STPT(10)	2556443061771314897	0 2 30 32 42 44 54 56 84 86	663054136518
STPT(10)	2556443240921803559	0 2 18 20 30 32 42 44 60 62	842204625180
TPT(14)	2556443362218712607	0 2 54 56 102 104 114 116 180 182 240 242 264 266	963501534228