Prime p₀= 2123263260314941559 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: matsu_pl
db: batch=80, k=10, 2 10 2 76 2

STPT(10)	2123260778606452127	0 2 30 32 42 44 54 56 84 86	-2481708489432
TPT(14)	2123260950917821457	0 2 12 14 30 32 72 74 114 116 162 164 210 212	-2309397120102
SPT(16)	2123261139389450539	0 10 42 84 94 100 150 208 234 292 342 348 358 400 432 442	-2120925491020
SPT(16)	2123261372093621951	0 36 38 42 60 80 102 140 168 206 228 248 266 270 272 308	-1888221319608
SPT(16)	2123262177707682373	0 18 24 46 94 96 120 126 148 154 178 180 228 250 256 274	-1082607259186
STPT(10)	2123262974068483601	0 2 6 8 48 50 90 92 96 98	-286246457958
STPT(10)	2123263428202607417	0 2 24 26 42 44 60 62 84 86	167887665858
SPT(16)	2123263936995032159	0 122 128 234 284 300 312 324 368 380 392 408 458 564 570 692	676680090600
SPT(13)	2123264003691784979	0 12 60 90 132 180 282 384 432 474 504 552 564	743376843420
STPT(10)	2123264506619428589	0 2 18 20 30 32 42 44 60 62	1246304487030
SPT(16)	2123265176054629457	0 32 90 104 120 140 162 182 222 242 264 284 300 314 372 404	1915739687898