Prime p₀= 2378085717787341011 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 166 2 70 2 34 2 118 2 118 2 (?)
a_n: 0 2 60 62 228 230 300 302 336 338 456 458 576 578
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: 578
Found by: [SG-2W]Kurzer
db: batch=81, k=14, 58 166 70 34 118 118

STPT(10)	2378084726510332247	0 2 42 44 72 74 102 104 144 146	-991277008764
SPT(18)	2378084912702347267	0 30 52 70 72 90 154 156 160 216 220 222 286 304 306 324 346 376	-805084993744
TPT(14)	2378084940684416231	0 2 6 8 30 32 78 80 90 92 156 158 300 302	-777102924780
SPT(16)	2378085233551963081	0 28 58 100 102 108 130 138 172 180 202 208 210 252 282 310	-484235377930
SPT(16)	2378085396342425281	0 18 36 40 42 108 120 150 208 238 250 316 318 322 340 358	-321444915730
STPT(10)	2378085610163501591	0 2 66 68 108 110 150 152 216 218	-107623839420
STPT(10)	2378086279173931757	0 2 30 32 72 74 114 116 144 146	561386590746
SPT(16)	2378086299272076119	0 24 90 108 110 132 180 188 234 242 290 312 314 332 398 422	581484735108
SPT(16)	2378086705645094669	0 18 38 42 84 102 110 134 168 192 200 218 260 264 284 302	987857753658
SPT(16)	2378086725369089857	0 30 40 64 156 166 174 262 264 352 360 370 462 486 496 526	1007581748846
TPT(14)	2378086816300946369	0 2 48 50 78 80 132 134 192 194 318 320 342 344	1098513605358