Prime p₀= 3017731790291788457 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: Asgard2022
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	3017731382221610809	0 24 34 100 102 154 160 174 178 192 198 250 252 318 328 352	-408070177648
SPT(16)	3017731389400373743	0 10 34 66 96 136 160 166 294 300 324 364 394 426 450 460	-400891414714
SPT(16)	3017731426896404651	0 20 66 72 116 132 140 156 182 198 206 222 266 272 318 338	-363395383806
SPT(16)	3017731522872440641	0 40 42 66 70 82 108 112 126 130 156 168 172 196 198 238	-267419347816
TPT(14)	3017731558459628999	0 2 240 242 282 284 288 290 312 314 372 374 438 440	-231832159458
STPT(10)	3017731783802326907	0 2 30 32 42 44 54 56 84 86	-6489461550
SPT(16)	3017731906170724123	0 10 16 76 78 106 108 148 168 208 210 238 240 300 306 316	115878935666
STPT(10)	3017732386692130307	0 2 30 32 72 74 114 116 144 146	596400341850
SPT(16)	3017732442586774603	0 6 10 54 70 126 204 216 238 250 328 384 400 444 448 454	652294986146
SPT(16)	3017732619853965997	0 36 46 76 90 112 120 130 312 322 330 352 366 396 406 442	829562177540
STPT(10)	3017732620176289199	0 2 18 20 30 32 42 44 60 62	829884500742