Prime p₀= 2821058767419773999 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Roadranner
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2821056867777618643	0 6 40 54 84 130 136 196 354 414 420 466 496 510 544 550	-1899642155356
TPT(14)	2821057196029068329	0 2 48 50 90 92 258 260 300 302 378 380 438 440	-1571390705670
SPT(16)	2821057428539094289	0 10 34 54 124 178 202 208 264 270 294 348 418 438 462 472	-1338880679710
SPT(16)	2821057672480076663	0 20 30 36 74 144 168 170 174 176 200 270 308 314 324 344	-1094939697336
STPT(10)	2821057983030750887	0 2 12 14 72 74 132 134 144 146	-784389023112
SPT(16)	2821057987098568619	0 12 48 54 68 90 98 132 140 174 182 204 218 224 260 272	-780321205380
SPT(16)	2821058779634045299	0 34 48 154 198 228 238 244 318 324 334 364 408 514 528 562	12214271300
STPT(10)	2821058841548146049	0 2 42 44 90 92 138 140 180 182	74128372050
STPT(10)	2821058885716935341	0 2 30 32 78 80 126 128 156 158	118297161342
STPT(10)	2821059333347458037	0 2 42 44 102 104 162 164 204 206	565927684038
SPT(16)	2821059406959418267	0 4 24 34 42 60 70 82 264 276 286 304 312 322 342 346	639539644268