Prime p₀= 820181582476253951 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 70 2 64 2 28 2 40 2 16 2 (?)
a_n: 0 2 18 20 90 92 156 158 186 188 228 230 246 248
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: 248
Found by: Theadalus
db: batch=73, k=14, 16 70 64 28 40 16

STPT(10)	820180482264042041	0 2 6 8 18 20 30 32 36 38	-1100212211910
SPT(16)	820180726021794899	0 54 62 72 90 102 188 212 240 264 350 362 380 390 398 452	-856454459052
STPT(10)	820180772109967901	0 2 6 8 48 50 90 92 96 98	-810366286050
STPT(12)	820180864842102299	0 2 18 20 42 44 198 200 222 224 240 242	-717634151652
TPT(14)	820181099959634291	0 2 60 62 138 140 180 182 216 218 240 242 336 338	-482516619660
STPT(10)	820181193152396861	0 2 30 32 78 80 126 128 156 158	-389323857090
SPT(16)	820181718495681371	0 18 20 32 86 102 128 156 272 300 326 342 396 408 410 428	136019427420
STPT(10)	820182141401112689	0 2 42 44 90 92 138 140 180 182	558924858738
SPT(16)	820182430820880377	0 12 60 74 90 104 126 150 176 200 222 236 252 266 314 326	848344626426
STPT(10)	820182597321583829	0 2 12 14 90 92 168 170 180 182	1014845329878
SPT(16)	820182822196458649	0 34 60 64 70 78 118 144 238 264 304 312 318 322 348 382	1239720204698