Prime p₀= 798714303849304277 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: [SG-2W]Kurzer
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	798712749516403121	0 30 56 72 78 86 92 122 156 186 192 200 206 222 248 278	-1554332901156
SPT(16)	798712811440563181	0 16 42 70 82 96 106 126 136 156 166 180 192 220 246 262	-1492408741096
STPT(10)	798713058440023169	0 2 18 20 60 62 102 104 120 122	-1245409281108
STPT(10)	798713098973796197	0 2 90 92 102 104 114 116 204 206	-1204875508080
TPT(14)	798713329047074891	0 2 36 38 126 128 156 158 240 242 258 260 270 272	-974802229386
SPT(16)	798713862224616673	0 4 66 70 90 126 150 174 196 220 244 280 300 304 366 370	-441624687604
STPT(10)	798714363240258737	0 2 30 32 42 44 54 56 84 86	59390954460
SPT(16)	798714378190666291	0 18 60 70 72 90 120 180 190 250 280 298 300 310 352 370	74341362014
SPT(16)	798714389950450313	0 54 74 84 110 168 200 228 236 264 296 354 380 390 410 464	86101146036
STPT(10)	798714529677428009	0 2 48 50 60 62 72 74 120 122	225828123732
SPT(16)	798714954758250203	0 36 50 56 120 156 168 198 266 296 308 344 408 414 428 464	650908945926