Prime p₀= 2349029134137747377 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: JonS
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2349025974140831977	0 24 124 150 154 160 244 330 376 462 546 552 556 582 682 706	-3159996915400
SPT(16)	2349026025814468961	0 6 32 38 42 50 140 146 162 168 258 266 270 276 302 308	-3108323278416
SPT(16)	2349027281257696999	0 12 18 82 100 142 144 150 172 178 180 222 240 304 310 322	-1852880050378
STPT(10)	2349027788442665381	0 2 6 8 18 20 30 32 36 38	-1345695081996
TPT(14)	2349028778975151599	0 2 18 20 138 140 198 200 240 242 252 254 282 284	-355162595778
STPT(10)	2349028827142346771	0 2 36 38 78 80 120 122 156 158	-306995400606
SPT(16)	2349029255448713647	0 40 42 54 66 82 84 130 186 232 234 250 262 274 276 316	121310966270
TPT(14)	2349029865124913939	0 2 42 44 48 50 90 92 138 140 210 212 378 380	730987166562
SPT(16)	2349029993014073947	0 6 22 30 34 36 42 96 100 154 160 162 166 174 190 196	858876326570
STPT(12)	2349030154007340239	0 2 42 44 60 62 210 212 228 230 270 272	1019869592862
STPT(10)	2349030290898354377	0 2 12 14 42 44 72 74 84 86	1156760607000