Prime p₀= 2021037310869294239 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: JonS
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2021035505120787833	0 6 14 56 116 150 164 186 278 300 314 348 408 450 458 464	-1805748506406
SPT(16)	2021035755415397887	0 22 36 52 70 112 150 154 162 166 204 246 264 280 294 316	-1555453896352
TPT(14)	2021036299543820519	0 2 30 32 48 50 372 374 420 422 438 440 492 494	-1011325473720
STPT(10)	2021036357620666829	0 2 42 44 60 62 78 80 120 122	-953248627410
TPT(14)	2021036469144967289	0 2 30 32 42 44 72 74 78 80 162 164 240 242	-841724326950
STPT(10)	2021036595245024639	0 2 42 44 60 62 78 80 120 122	-715624269600
STPT(10)	2021037489745296947	0 2 12 14 42 44 72 74 84 86	178876002708
SPT(16)	2021038104943686001	0 28 42 136 162 210 216 220 228 232 238 286 312 406 420 448	794074391762
SPT(16)	2021038236936885149	0 2 12 14 42 44 74 90 152 168 198 200 228 230 240 242	926067590910
SPT(16)	2021038537181295427	0 4 22 24 42 76 94 120 136 162 180 214 232 234 252 256	1226312001188
SPT(16)	2021038565197650499	0 4 22 102 120 142 168 172 180 184 210 232 250 330 348 352	1254328356260