Prime p₀= 2686551385599697169 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 94 2 28 2 70 2 346 2 40 2 (?)
a_n: 0 2 12 14 108 110 138 140 210 212 558 560 600 602
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: 602
Found by: RFGuy_KCCO
db: batch=82, k=14, 10 94 28 70 346 40

SPT(16)	2686549197611055109	0 12 28 58 64 102 114 120 292 298 310 348 354 384 400 412	-2187988642060
SPT(16)	2686549336254687301	0 10 52 72 82 118 132 150 160 178 192 228 238 258 300 310	-2049345009868
STPT(10)	2686549772046192431	0 2 36 38 78 80 120 122 156 158	-1613553504738
STPT(10)	2686550326943513417	0 2 90 92 102 104 114 116 204 206	-1058656183752
TPT(14)	2686550701045439927	0 2 12 14 24 26 72 74 114 116 180 182 240 242	-684554257242
STPT(12)	2686551034251256607	0 2 12 14 24 26 30 32 42 44 54 56	-351348440562
SPT(16)	2686551596299595623	0 30 46 54 88 96 100 114 130 144 148 156 190 198 214 244	210699898454
STPT(10)	2686551620315941907	0 2 12 14 42 44 72 74 84 86	234716244738
SPT(16)	2686551979085717801	0 18 62 80 108 116 122 156 242 276 282 290 318 336 380 398	593486020632
STPT(10)	2686552231276553657	0 2 54 56 132 134 210 212 264 266	845676856488
SPT(16)	2686552379803020587	0 60 62 102 140 192 200 210 224 234 242 294 332 372 374 434	994203323418