Prime p₀= 2456253037166129231 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: JayPi
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2456249889015546133	0 6 28 30 48 100 184 210 214 240 324 376 394 396 418 424	-3148150583098
STPT(10)	2456250269635537937	0 2 42 44 72 74 102 104 144 146	-2767530591294
SPT(16)	2456250590611013323	0 28 64 66 78 84 106 130 144 168 190 196 208 210 246 274	-2446555115908
STPT(10)	2456250638001701087	0 2 30 32 42 44 54 56 84 86	-2399164428144
STPT(10)	2456252156281812347	0 2 30 32 42 44 54 56 84 86	-880884316884
SPT(16)	2456252441046632363	0 18 20 78 90 116 150 186 188 224 258 284 296 354 356 374	-596119496868
SPT(16)	2456253132718199839	0 24 48 90 112 118 160 178 234 252 294 300 322 364 388 412	95552070608
STPT(10)	2456253189538986107	0 2 54 56 132 134 210 212 264 266	152372856876
SPT(16)	2456253787593952001	0 6 36 50 56 80 96 120 122 146 162 186 192 206 236 242	750427822770
STPT(10)	2456254253888324579	0 2 18 20 30 32 42 44 60 62	1216722195348
SPT(16)	2456254457801961931	0 58 72 88 100 102 118 162 196 240 256 258 270 286 300 358	1420635832700