Prime p₀= 2710374510855761831 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 160 2 16 2 148 2 28 2 10 2 (?)
a_n: 0 2 6 8 168 170 186 188 336 338 366 368 378 380
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: JayPi
db: batch=82, k=14, 4 160 16 148 28 10

SPT(16)	2710372391261943853	0 18 34 100 120 210 228 238 246 256 274 364 384 450 466 484	-2119593817978
TPT(14)	2710372585520668049	0 2 48 50 102 104 120 122 132 134 168 170 198 200	-1925335093782
SPT(16)	2710372958678964653	0 8 18 26 78 180 194 200 204 210 224 326 378 386 396 404	-1552176797178
STPT(10)	2710373780676567821	0 2 6 8 48 50 90 92 96 98	-730179194010
SPT(16)	2710373861485694567	0 14 20 30 50 86 104 146 234 276 294 330 350 360 366 380	-649370067264
TPT(14)	2710374242126057201	0 2 6 8 30 32 90 92 120 122 126 128 168 170	-268729704630
STPT(10)	2710375275385774679	0 2 42 44 90 92 138 140 180 182	764530012848
TPT(16)	2710375323910149359	0 2 60 62 102 104 162 164 252 254 258 260 408 410 468 470	813054387528
SPT(16)	2710375725080040581	0 26 92 116 182 240 246 266 282 302 308 366 432 456 522 548	1214224278750
SPT(16)	2710375727851698121	0 66 70 78 88 90 112 118 180 186 208 210 220 228 232 298	1216995936290
SPT(16)	2710375825107591041	0 8 18 30 78 90 126 146 240 260 296 308 356 368 378 386	1314251829210