Prime p₀= 2162070558157206857 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: Landjunge
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2162068806048683659	0 18 28 52 54 64 84 124 168 208 228 238 240 264 274 292	-1752108523198
TPT(14)	2162068998830008571	0 2 18 20 156 158 216 218 246 248 270 272 330 332	-1559327198286
STPT(10)	2162069350807474937	0 2 12 14 132 134 252 254 264 266	-1207349731920
SPT(16)	2162069440259019091	0 10 12 40 126 138 160 162 196 198 220 232 318 346 348 358	-1117898187766
SPT(16)	2162069762380005241	0 12 36 82 142 178 282 306 322 346 450 486 546 592 616 628	-795777201616
TPT(14)	2162069779028379749	0 2 18 20 48 50 222 224 240 242 282 284 300 302	-779128827108
SPT(16)	2162070576552424099	0 28 30 52 64 72 94 108 154 168 190 198 210 232 234 262	18395217242
SPT(16)	2162070624798400853	0 8 18 78 218 228 234 258 260 284 290 300 440 500 510 518	66641193996
SPT(16)	2162070761430593381	0 2 26 30 32 60 68 92 96 120 128 156 158 162 186 188	203273386524
STPT(10)	2162070830137539017	0 2 30 32 72 74 114 116 144 146	271980332160
STPT(10)	2162071018098650567	0 2 30 32 42 44 54 56 84 86	459941443710