Prime p₀= 865768491155954567 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: RFGuy_KCCO
db: batch=73, k=10, 2 22 2 16 2

SPT(16)	865767328076775923	0 44 54 66 78 108 126 170 204 248 266 296 308 320 330 374	-1163079178644
SPT(13)	865767636838543753	0 30 48 84 114 138 174 210 234 264 300 318 348	-854317410814
SPT(16)	865767956607591013	0 28 30 84 190 240 270 300 394 424 454 504 610 664 666 694	-534548363554
SPT(16)	865768095148921759	0 42 84 90 112 130 172 190 222 240 282 300 322 328 370 412	-396007032808
STPT(10)	865768309694841731	0 2 6 8 48 50 90 92 96 98	-181461112836
SPT(16)	865768324038355081	0 10 40 66 112 120 190 210 232 252 322 330 376 402 432 442	-167117599486
SPT(16)	865768684389070381	0 10 58 108 112 118 162 168 310 316 360 366 370 420 468 478	193233115814
TPT(14)	865768781823719819	0 2 12 14 42 44 48 50 78 80 132 134 168 170	290667765252
STPT(10)	865769139392579087	0 2 12 14 42 44 72 74 84 86	648236624520
SPT(16)	865769287918832909	0 14 120 152 198 234 252 254 258 260 278 314 360 392 498 512	796762878342
STPT(10)	865769438831584787	0 2 42 44 132 134 222 224 264 266	947675630220