Prime p₀= 2352168963214112129 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 46 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 138 140 180 182
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: 182
Found by: Xenon
db: batch=81, k=10, 2 40 2 46 2

STPT(10)	2352167553775767197	0 2 30 32 42 44 54 56 84 86	-1409438344932
SPT(16)	2352167716826316239	0 14 48 60 110 132 152 158 324 330 350 372 422 434 468 482	-1246387795890
SPT(16)	2352167763315730313	0 24 66 120 126 186 218 224 270 276 308 368 374 428 470 494	-1199898381816
SPT(16)	2352168014329094903	0 30 36 44 128 140 168 186 278 296 324 336 420 428 434 464	-948885017226
SPT(16)	2352168281541694331	0 2 8 48 72 78 80 140 150 210 212 218 242 282 288 290	-681672417798
SPT(16)	2352168895349318191	0 6 42 60 82 112 138 142 156 160 186 216 238 256 292 298	-67864793938
STPT(10)	2352169075853707049	0 2 18 20 30 32 42 44 60 62	112639594920
STPT(10)	2352169186537059287	0 2 30 32 72 74 114 116 144 146	223322947158
STPT(10)	2352169533590341079	0 2 18 20 30 32 42 44 60 62	570376228950
SPT(16)	2352169544786674219	0 22 24 52 90 180 190 202 210 222 232 322 360 388 390 412	581572562090
SPT(16)	2352169585930688597	0 6 72 84 86 152 156 176 210 230 234 300 302 314 380 386	622716576468