Prime p₀= 2325149198850678437 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: Landjunge
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2325146581529727763	0 30 34 36 40 78 84 106 168 190 196 234 238 240 244 274	-2617320950674
SPT(16)	2325146953654688659	0 42 84 100 112 124 138 150 172 184 198 210 222 238 280 322	-2245195989778
SPT(16)	2325147739158012463	0 28 36 58 90 114 118 120 184 186 190 214 246 268 276 304	-1459692665974
TPT(14)	2325147760366996307	0 2 42 44 114 116 120 122 150 152 210 212 252 254	-1438483682130
STPT(10)	2325148086878909189	0 2 18 20 60 62 102 104 120 122	-1111971769248
SPT(16)	2325148859230001027	0 14 32 44 56 60 66 114 242 290 296 300 312 324 342 356	-339620677410
STPT(10)	2325149279765036339	0 2 18 20 30 32 42 44 60 62	80914357902
SPT(16)	2325149694920401747	0 12 52 76 94 154 156 160 216 220 222 282 300 324 364 376	496069723310
SPT(16)	2325149793907730099	0 24 32 78 84 98 144 164 168 188 234 248 254 300 308 332	595057051662
SPT(16)	2325149883937128511	0 6 72 96 162 246 252 256 282 286 292 376 442 466 532 538	685086450074
SPT(16)	2325150435354911789	0 60 62 132 144 162 164 170 204 210 212 230 242 312 314 374	1236504233352