Prime p₀= 2797175164872984809 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 16 2 28 2 46 2 28 2 52 2 (?)
a_n: 0 2 42 44 60 62 90 92 138 140 168 170 222 224
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: 224
Found by: UBT - Timbo
db: batch=82, k=14, 40 16 28 46 28 52

TPT(14)	2797173820398400187	0 2 24 26 132 134 264 266 390 392 420 422 444 446	-1344474584622
SPT(16)	2797174031428610531	0 18 32 60 102 152 200 228 230 258 306 356 398 426 440 458	-1133444374278
STPT(10)	2797174301510245817	0 2 30 32 42 44 54 56 84 86	-863362738992
SPT(16)	2797174589760667661	0 20 42 62 86 96 138 156 182 200 242 252 276 296 318 338	-575112317148
SPT(16)	2797174616134148161	0 6 10 18 22 60 70 88 90 108 118 156 160 168 172 178	-548738836648
SPT(16)	2797174768854754579	0 54 78 102 154 222 228 264 298 334 340 408 460 484 508 562	-396018230230
SPT(16)	2797175532526973921	0 32 38 50 56 86 108 126 152 170 192 222 228 240 246 278	367653989112
SPT(16)	2797175791914658411	0 46 48 60 126 136 138 168 178 208 210 220 286 298 300 346	627041673602
STPT(10)	2797175877007885127	0 2 60 62 72 74 84 86 144 146	712134900318
STPT(10)	2797175980650278957	0 2 30 32 72 74 114 116 144 146	815777294148
SPT(16)	2797176086019035923	0 28 94 160 174 208 228 244 270 286 306 340 354 420 486 514	921146051114