Prime p₀= 2324997646372626497 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: Orange Kid
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2324995390617602887	0 10 46 72 94 112 114 136 150 172 174 192 214 240 276 286	-2255755023610
TPT(14)	2324995426561281107	0 2 12 14 30 32 54 56 132 134 252 254 282 284	-2219811345390
STPT(12)	2324995641557063789	0 2 30 32 72 74 198 200 240 242 270 272	-2004815562708
SPT(16)	2324995783686669979	0 12 18 84 168 174 184 240 352 408 418 424 508 574 580 592	-1862685956518
SPT(16)	2324997336997099397	0 6 14 20 24 26 96 140 180 224 294 296 300 306 314 320	-309375527100
SPT(16)	2324997373713206879	0 8 38 60 92 98 108 110 150 152 162 168 200 222 252 260	-272659419618
STPT(10)	2324997693103308659	0 2 18 20 60 62 102 104 120 122	46730682162
SPT(16)	2324998630912483681	0 36 46 70 108 138 178 198 220 240 280 310 348 372 382 418	984539857184
SPT(16)	2324998746909180047	0 6 32 44 54 96 140 146 150 156 200 242 252 264 290 296	1100536553550
STPT(10)	2324998872662389631	0 2 36 38 78 80 120 122 156 158	1226289763134
SPT(16)	2324999011674590681	0 8 30 36 42 48 62 66 152 156 170 176 182 188 210 218	1365301964184