Prime p₀= 2696999033319351767 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: JayPi
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2696997369387848333	0 6 14 20 44 66 126 156 218 248 308 330 354 360 368 374	-1663931503434
SPT(16)	2696997499390198187	0 24 32 50 66 74 86 126 200 240 252 260 276 294 302 326	-1533929153580
SPT(16)	2696997509060192081	0 8 60 78 122 182 186 200 258 272 276 336 380 398 450 458	-1524259159686
STPT(10)	2696998082377211867	0 2 90 92 102 104 114 116 204 206	-950942139900
STPT(10)	2696998747282484387	0 2 12 14 42 44 72 74 84 86	-286036867380
TPT(14)	2696998939524363029	0 2 12 14 48 50 78 80 90 92 150 152 162 164	-93794988738
SPT(16)	2696999209347825521	0 42 90 146 168 182 200 266 282 348 366 380 402 458 506 548	176028473754
STPT(10)	2696999669937986561	0 2 30 32 78 80 126 128 156 158	636618634794
STPT(10)	2697000415172927837	0 2 30 32 42 44 54 56 84 86	1381853576070
SPT(16)	2697000567756798493	0 4 10 60 94 120 144 186 214 256 280 306 340 390 396 400	1534437446726
SPT(16)	2697000936520748369	0 2 18 122 134 152 162 180 182 200 210 228 240 344 360 362	1903201396602