Prime p₀= 2313223220498376647 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: Orange Kid
db: batch=81, k=10, 2 22 2 16 2

STPT(10)	2313222262909792049	0 2 12 14 30 32 48 50 60 62	-957588584598
SPT(16)	2313222324301868821	0 46 58 76 100 132 162 186 202 226 256 288 312 330 342 388	-896196507826
SPT(16)	2313222753235450613	0 14 20 90 116 134 144 146 174 176 186 204 230 300 306 320	-467262926034
TPT(14)	2313222757071162569	0 2 78 80 90 92 120 122 150 152 318 320 360 362	-463427214078
SPT(18)	2313222947949622477	0 4 6 42 54 70 90 96 112 114 130 136 156 172 184 220 222 226	-272548754170
SPT(16)	2313222977098676063	0 24 56 66 108 144 156 194 240 278 290 326 368 378 410 434	-243399700584
STPT(10)	2313223295223208469	0 2 48 50 90 92 132 134 180 182	74724831822
SPT(16)	2313223360497365633	0 14 36 56 74 84 98 108 116 126 140 150 168 188 210 224	139998988986
STPT(10)	2313223779558828737	0 2 30 32 42 44 54 56 84 86	559060452090
SPT(13)	2313224136448735571	0 42 66 120 180 222 276 330 372 432 486 510 552	915950358924
SPT(16)	2313224153473435753	0 4 36 64 70 78 96 106 108 118 136 144 150 178 210 214	932975059106