Prime p₀= 2834526740666461637 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: Roadranner
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2834525719892463097	0 70 90 154 246 310 342 364 372 394 426 490 582 646 666 736	-1020773998540
SPT(16)	2834526155467758463	0 28 34 60 66 138 178 196 228 246 286 358 364 390 396 424	-585198703174
STPT(10)	2834526231973245749	0 2 18 20 30 32 42 44 60 62	-508693215888
SPT(16)	2834526572639672489	0 14 38 42 50 62 98 122 150 174 210 222 230 234 258 272	-168026789148
SPT(16)	2834526634048138049	0 18 80 140 168 194 252 264 278 290 348 374 402 462 524 542	-106618323588
STPT(10)	2834526726981449177	0 2 60 62 72 74 84 86 144 146	-13685012460
SPT(16)	2834527334107455907	0 4 6 12 42 70 120 142 144 166 216 244 274 280 282 286	593440994270
SPT(16)	2834527348089995959	0 18 58 64 100 144 148 150 232 234 238 282 318 324 364 382	607423534322
SPT(16)	2834527490955561113	0 6 74 86 104 108 114 116 138 140 146 150 168 180 248 254	750289099476
STPT(10)	2834527682422244657	0 2 30 32 60 62 90 92 120 122	941755783020
STPT(10)	2834527715012298119	0 2 42 44 90 92 138 140 180 182	974345836482