Prime p₀= 2377578317812789319 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: Landjunge
db: batch=81, k=10, 2 46 2 40 2

SPT(16)	2377577906386546261	0 30 46 48 58 60 168 180 298 310 418 420 430 432 448 478	-411426243058
STPT(10)	2377577941091353457	0 2 30 32 72 74 114 116 144 146	-376721435862
SPT(16)	2377577967850247497	0 34 54 70 82 90 100 150 184 234 244 252 264 280 300 334	-349962541822
SPT(16)	2377578096877789591	0 22 36 48 66 88 90 148 240 298 300 322 340 352 366 388	-220934999728
TPT(14)	2377578240563833787	0 2 54 56 72 74 270 272 342 344 462 464 474 476	-77248955532
SPT(16)	2377578308869948577	0 66 92 110 126 144 170 206 240 276 302 320 336 354 380 446	-8942840742
SPT(16)	2377578398360353381	0 6 48 58 70 78 100 118 120 138 160 168 180 190 232 238	80547564062
SPT(16)	2377578701811033991	0 18 58 112 138 168 210 228 292 310 352 382 408 462 502 520	383998244672
SPT(16)	2377578737836861261	0 6 22 42 70 72 136 150 208 222 286 288 316 336 352 358	420024071942
STPT(10)	2377579211680343129	0 2 18 20 30 32 42 44 60 62	893867553810
SPT(16)	2377579219499705147	0 12 26 36 110 120 182 192 320 330 392 402 476 486 500 512	901686915828