Prime p₀= 2686592467539064529 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 10 2 28 2 64 2 10 2 10 2 (?)
a_n: 0 2 90 92 102 104 132 134 198 200 210 212 222 224
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: 224
Found by: RFGuy_KCCO
db: batch=82, k=14, 88 10 28 64 10 10

SPT(16)	2686590744366957607	0 40 72 76 166 196 214 222 274 282 300 330 420 424 456 496	-1723172106922
SPT(16)	2686591360723726387	0 22 42 52 60 120 130 142 150 162 172 232 240 250 270 292	-1106815338142
SPT(16)	2686591567594056887	0 36 50 66 84 114 144 162 164 182 212 242 260 276 290 326	-899945007642
SPT(16)	2686592012336416621	0 16 30 66 162 180 192 196 246 250 262 280 376 412 426 442	-455202647908
STPT(10)	2686592269945593011	0 2 30 32 60 62 90 92 120 122	-197593471518
TPT(14)	2686592371440818207	0 2 120 122 162 164 174 176 180 182 210 212 222 224	-96098246322
STPT(10)	2686592503464768929	0 2 18 20 30 32 42 44 60 62	35925704400
STPT(12)	2686592919099478547	0 2 30 32 54 56 90 92 114 116 144 146	451560414018
STPT(10)	2686593252032279501	0 2 6 8 18 20 30 32 36 38	784493214972
SPT(16)	2686593462984432697	0 22 24 40 64 150 204 210 274 280 334 420 444 460 462 484	995445368168
SPT(16)	2686593641703973321	0 52 82 190 202 222 238 250 300 312 328 348 360 468 498 550	1174164908792