Prime p₀= 2458794997229895827 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(20)	2458793348983476509	0 2 30 54 72 92 104 140 170 182 252 264 294 330 342 362 380 404 432 434	-1648246419318
STPT(10)	2458793689757078489	0 2 48 50 90 92 132 134 180 182	-1307472817338
SPT(16)	2458794297279068443	0 58 60 78 90 100 136 144 160 168 204 214 226 244 246 304	-699950827384
STPT(10)	2458794483176755721	0 2 6 8 48 50 90 92 96 98	-514053140106
SPT(16)	2458794598153217719	0 30 40 70 84 108 132 142 150 160 184 208 222 252 262 292	-399076678108
SPT(16)	2458794954510533117	0 30 42 140 174 180 194 212 234 252 266 272 306 404 416 446	-42719362710
SPT(16)	2458795049870016883	0 18 58 60 64 84 124 160 168 204 244 264 268 270 310 328	52640121056
STPT(10)	2458795069667482937	0 2 30 32 42 44 54 56 84 86	72437587110
SPT(16)	2458795323639881657	0 30 62 72 74 104 132 170 216 254 282 312 314 324 356 386	326409985830
TPT(14)	2458795626552688529	0 2 30 32 72 74 78 80 108 110 138 140 168 170	629322792702
TPT(14)	2458796229323735207	0 2 30 32 102 104 294 296 384 386 564 566 672 674	1232093839380