Prime p₀= 2322605091819488417 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: vinn@[CNT]
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2322603189027361043	0 6 26 30 60 68 110 114 170 174 216 224 254 258 278 284	-1902792127374
STPT(10)	2322603794208958331	0 2 30 32 78 80 126 128 156 158	-1297610530086
SPT(16)	2322604109259767293	0 4 28 46 48 70 108 186 268 346 384 406 408 426 450 454	-982559721124
SPT(16)	2322604324305227051	0 48 56 62 78 90 108 162 206 260 278 290 306 312 320 368	-767514261366
SPT(16)	2322604906611734119	0 4 12 34 42 70 72 84 88 100 102 130 138 160 168 172	-185207754298
SPT(16)	2322605079660560857	0 10 22 40 96 100 252 310 402 460 612 616 672 690 702 712	-12158927560
SPT(16)	2322605455117706987	0 20 44 74 96 134 152 156 200 204 222 260 282 312 336 356	363298218570
STPT(10)	2322606246039934469	0 2 18 20 30 32 42 44 60 62	1154220446052
SPT(16)	2322606498347017121	0 38 66 72 120 152 162 210 248 296 306 338 386 392 420 458	1406527528704
TPT(14)	2322607401081508907	0 2 60 62 144 146 174 176 210 212 240 242 312 314	2309262020490
SPT(16)	2322607884890788711	0 30 72 112 160 208 222 228 322 328 342 390 438 478 520 550	2793071300294