Prime p₀= 2456228144149169627 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: JayPi
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2456227140461443201	0 10 28 30 42 48 100 112 138 150 202 208 220 222 240 250	-1003687726426
STPT(10)	2456227250689655747	0 2 54 56 132 134 210 212 264 266	-893459513880
STPT(10)	2456227350615423569	0 2 30 32 60 62 90 92 120 122	-793533746058
STPT(10)	2456227764711286607	0 2 30 32 42 44 54 56 84 86	-379437883020
SPT(16)	2456228003284211257	0 12 24 30 34 40 70 82 84 96 126 132 136 142 154 166	-140864958370
TPT(14)	2456228141415935069	0 2 30 32 78 80 108 110 210 212 240 242 252 254	-2733234558
SPT(16)	2456228397757709951	0 6 36 38 56 102 116 120 188 192 206 252 270 272 302 308	253608540324
SPT(16)	2456228650555112933	0 68 80 86 104 108 110 134 210 234 236 240 258 264 276 344	506405943306
SPT(16)	2456228922083532901	0 12 42 70 76 82 126 180 232 286 330 336 342 370 400 412	777934363274
STPT(10)	2456228928916205879	0 2 42 44 60 62 78 80 120 122	784767036252
STPT(10)	2456229019021203857	0 2 54 56 72 74 90 92 144 146	874872034230