Prime p₀= 2123263428202607417 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: matsu_pl
db: batch=80, k=10, 2 22 2 16 2

TPT(14)	2123260950917821457	0 2 12 14 30 32 72 74 114 116 162 164 210 212	-2477284785960
SPT(16)	2123261139389450539	0 10 42 84 94 100 150 208 234 292 342 348 358 400 432 442	-2288813156878
SPT(16)	2123261372093621951	0 36 38 42 60 80 102 140 168 206 228 248 266 270 272 308	-2056108985466
SPT(16)	2123262177707682373	0 18 24 46 94 96 120 126 148 154 178 180 228 250 256 274	-1250494925044
STPT(10)	2123262974068483601	0 2 6 8 48 50 90 92 96 98	-454134123816
STPT(10)	2123263260314941559	0 2 12 14 90 92 168 170 180 182	-167887665858
SPT(16)	2123263936995032159	0 122 128 234 284 300 312 324 368 380 392 408 458 564 570 692	508792424742
SPT(13)	2123264003691784979	0 12 60 90 132 180 282 384 432 474 504 552 564	575489177562
STPT(10)	2123264506619428589	0 2 18 20 30 32 42 44 60 62	1078416821172
SPT(16)	2123265176054629457	0 32 90 104 120 140 162 182 222 242 264 284 300 314 372 404	1747852022040
STPT(10)	2123265408129893939	0 2 18 20 30 32 42 44 60 62	1979927286522