Prime p₀= 2623753888683436037 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: biodoc
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2623752170134644061	0 42 102 112 148 160 192 210 220 238 270 282 318 328 388 430	-1718548791976
SPT(16)	2623752474149080361	0 26 48 50 62 68 92 98 120 126 150 156 168 170 192 218	-1414534355676
STPT(10)	2623752961300793207	0 2 12 14 42 44 72 74 84 86	-927382642830
SPT(16)	2623753279566664967	0 12 44 54 72 102 120 156 350 386 404 434 452 462 494 506	-609116771070
SPT(16)	2623753357399430527	0 24 66 96 216 244 250 280 300 330 336 364 484 514 556 580	-531284005510
SPT(16)	2623753678384303789	0 10 24 52 70 84 90 114 148 172 178 192 210 238 252 262	-210299132248
SPT(16)	2623754349411612661	0 40 90 100 118 132 138 166 342 370 376 390 408 418 468 508	460728176624
SPT(16)	2623754614777254487	0 6 12 34 90 112 124 126 130 132 144 166 222 244 250 256	726093818450
TPT(14)	2623755081174876287	0 2 42 44 60 62 90 92 240 242 324 326 330 332	1192491440250
STPT(10)	2623755298945408877	0 2 30 32 42 44 54 56 84 86	1410261972840
SPT(16)	2623755521785030639	0 24 30 54 84 138 184 210 238 264 310 364 394 418 424 448	1633101594602