Prime p₀= 2869335546611149667 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 16 2 10 2 46 2 52 2 94 2 (?)
a_n: 0 2 42 44 60 62 72 74 120 122 174 176 270 272
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: 272
Found by: JayPi
db: batch=82, k=14, 40 16 10 46 52 94

STPT(10)	2869334122146020951	0 2 36 38 78 80 120 122 156 158	-1424465128716
SPT(16)	2869334247346971979	0 18 40 78 84 172 204 238 264 298 330 418 424 462 484 502	-1299264177688
TPT(14)	2869334656703116319	0 2 90 92 132 134 210 212 222 224 300 302 630 632	-889908033348
SPT(16)	2869335122356617041	0 2 86 98 102 138 140 156 392 408 410 446 450 462 546 548	-424254532626
STPT(10)	2869335156128139227	0 2 42 44 72 74 102 104 144 146	-390483010440
SPT(16)	2869335280748687431	0 16 46 66 76 88 142 150 178 186 240 252 262 282 312 328	-265862462236
SPT(16)	2869335800405187709	0 12 24 30 58 88 100 144 178 222 234 264 292 298 310 322	253794038042
TPT(14)	2869335842714884379	0 2 18 20 42 44 48 50 102 104 180 182 270 272	296103734712
STPT(10)	2869335934181926577	0 2 30 32 42 44 54 56 84 86	387570776910
SPT(16)	2869335961179486341	0 48 102 110 116 156 158 180 188 210 212 252 258 266 320 368	414568336674
STPT(10)	2869336012907054567	0 2 30 32 60 62 90 92 120 122	466295904900