Prime p₀= 2365380718556236499 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Landjunge
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2365379719944813401	0 8 26 42 92 102 152 176 222 246 296 306 356 372 390 398	-998611423098
TPT(14)	2365379990457780227	0 2 24 26 150 152 282 284 294 296 324 326 330 332	-728098456272
SPT(16)	2365380200206975223	0 30 38 90 96 108 110 140 156 186 188 200 206 258 266 296	-518349261276
STPT(12)	2365380213713768231	0 2 36 38 78 80 168 170 210 212 246 248	-504842468268
SPT(16)	2365380253992459397	0 16 24 70 96 100 126 136 144 154 180 184 210 256 264 280	-464563777102
STPT(10)	2365380708469370897	0 2 30 32 42 44 54 56 84 86	-10086865602
STPT(10)	2365380785831161067	0 2 30 32 72 74 114 116 144 146	67274924568
SPT(16)	2365380791460187261	0 18 28 60 90 96 120 168 208 256 280 286 316 348 358 376	72903950762
SPT(16)	2365381265105640097	0 42 54 66 72 82 136 150 196 210 264 274 280 292 304 346	546549403598
STPT(10)	2365381506407422157	0 2 30 32 72 74 114 116 144 146	787851185658
SPT(16)	2365382074294840687	0 6 22 60 106 136 144 162 184 202 210 240 286 324 340 346	1355738604188