Prime p₀= 2592831313736635817 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2592829730031075121	0 42 46 48 90 112 126 130 138 142 156 178 220 222 226 268	-1583705560696
TPT(14)	2592829957561707131	0 2 36 38 78 80 240 242 246 248 270 272 300 302	-1356174928686
STPT(12)	2592830041786958189	0 2 60 62 72 74 138 140 150 152 210 212	-1271949677628
STPT(10)	2592830172581831561	0 2 36 38 78 80 120 122 156 158	-1141154804256
TPT(14)	2592830893530926987	0 2 24 26 54 56 120 122 204 206 360 362 462 464	-420205708830
STPT(10)	2592831077063373257	0 2 42 44 72 74 102 104 144 146	-236673262560
STPT(10)	2592831683330476871	0 2 6 8 48 50 90 92 96 98	369593841054
TPT(14)	2592831788062183637	0 2 12 14 30 32 60 62 144 146 180 182 222 224	474325547820
STPT(10)	2592832035796709249	0 2 12 14 90 92 168 170 180 182	722060073432
SPT(16)	2592832287069097109	0 50 54 92 98 102 180 200 222 242 320 324 330 368 372 422	973332461292
STPT(10)	2592832863980903561	0 2 78 80 108 110 138 140 216 218	1550244267744