Prime p₀= 2316491768382575237 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)	2316489410050956191	0 2 6 8 18 20 30 32 36 38	-2358331619046
SPT(16)	2316489584478297923	0 38 80 84 114 126 144 158 216 230 248 260 290 294 336 374	-2183904277314
TPT(14)	2316490492280872967	0 2 42 44 90 92 120 122 174 176 222 224 234 236	-1276101702270
SPT(16)	2316490562793918899	0 14 38 42 78 84 92 98 114 120 128 134 170 174 198 212	-1205588656338
TPT(14)	2316491058597505037	0 2 24 26 54 56 132 134 210 212 252 254 264 266	-709785070200
TPT(14)	2316491319809478167	0 2 54 56 114 116 360 362 402 404 420 422 462 464	-448573097070
STPT(10)	2316492533879499761	0 2 36 38 78 80 120 122 156 158	765496924524
SPT(16)	2316493718826558241	0 22 46 66 90 112 130 150 172 192 210 232 256 276 300 322	1950443983004
STPT(10)	2316493781481517637	0 2 24 26 42 44 60 62 84 86	2013098942400
STPT(10)	2316494693496062879	0 2 48 50 60 62 72 74 120 122	2925113487642
SPT(16)	2316495005144558351	0 60 78 80 98 110 150 152 168 170 210 222 240 242 260 320	3236761983114