Prime p₀= 2306767195822855061 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: vinn@[CNT]
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2306766442650126601	0 16 40 82 100 126 138 238 270 370 382 408 426 468 492 508	-753172728460
TPT(16)	2306766518737882259	0 2 48 50 78 80 168 170 210 212 258 260 282 284 300 302	-677084972802
SPT(16)	2306766684607700669	0 30 44 60 74 134 242 260 264 282 390 450 464 480 494 524	-511215154392
SPT(16)	2306766879602174449	0 12 18 88 108 168 208 220 252 264 304 364 384 454 460 472	-316220680612
STPT(10)	2306767048588797407	0 2 30 32 42 44 54 56 84 86	-147234057654
SPT(16)	2306767067410044023	0 14 26 54 96 98 158 168 266 276 336 338 380 408 420 434	-128412811038
SPT(16)	2306767255597562377	0 42 70 90 144 174 184 214 240 270 280 310 364 384 412 454	59774707316
SPT(16)	2306767444239676969	0 18 40 82 90 102 108 118 144 154 160 172 180 222 244 262	248416821908
TPT(14)	2306767923893199407	0 2 12 14 42 44 60 62 102 104 144 146 180 182	728070344346
STPT(10)	2306768108449778627	0 2 90 92 132 134 174 176 264 266	912626923566
SPT(16)	2306768243969911831	0 28 46 88 102 106 118 162 196 240 252 256 270 312 330 358	1048147056770