Prime p₀= 2170855582959703571 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 82 2 154 2 10 2 28 2 28 2 (?)
a_n: 0 2 66 68 150 152 306 308 318 320 348 350 378 380
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: 380
Found by: Penguin
db: batch=81, k=14, 64 82 154 10 28 28

SPT(16)	2170854478839951041	0 60 98 132 168 198 210 212 216 218 230 260 296 330 368 428	-1104119752530
SPT(16)	2170854633036979807	0 4 24 40 42 46 54 84 112 142 150 154 156 172 192 196	-949922723764
STPT(10)	2170854673544085671	0 2 6 8 18 20 30 32 36 38	-909415617900
SPT(16)	2170854852553794487	0 22 36 42 106 126 166 202 204 240 280 300 364 370 384 406	-730405909084
SPT(16)	2170855290290728109	0 14 24 38 48 50 92 122 150 180 222 224 234 248 258 272	-292668975462
STPT(10)	2170855505858987399	0 2 12 14 90 92 168 170 180 182	-77100716172
SPT(16)	2170855619891725901	0 26 38 50 138 150 168 206 222 260 278 290 378 390 402 428	36932022330
STPT(10)	2170855630880172359	0 2 12 14 30 32 48 50 60 62	47920468788
STPT(10)	2170856044132087979	0 2 42 44 60 62 78 80 120 122	461172384408
SPT(16)	2170856051916828499	0 18 70 72 84 112 130 142 270 282 300 328 340 342 394 412	468957124928
STPT(10)	2170856386397993867	0 2 42 44 72 74 102 104 144 146	803438290296