Prime p₀= 2935890371190536717 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: Landjunge
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2935889059984052479	0 30 42 82 114 130 154 168 184 198 222 238 270 310 322 352	-1311206484238
SPT(16)	2935889307647395283	0 6 44 56 66 108 114 174 200 260 266 308 318 330 368 374	-1063543141434
STPT(10)	2935889655473535347	0 2 30 32 72 74 114 116 144 146	-715717001370
STPT(10)	2935889857204211189	0 2 72 74 120 122 168 170 240 242	-513986325528
STPT(10)	2935889906206196909	0 2 12 14 30 32 48 50 60 62	-464984339808
SPT(16)	2935889974164064607	0 32 42 62 74 110 114 140 144 170 174 210 222 242 252 284	-397026472110
STPT(10)	2935891011321577451	0 2 6 8 18 20 30 32 36 38	640131040734
SPT(16)	2935891672962392311	0 18 52 138 156 168 172 178 270 276 280 292 310 396 430 448	1301771855594
SPT(16)	2935892614869344069	0 2 14 18 20 24 44 60 62 78 98 102 104 108 120 122	2243678807352
SPT(16)	2935892699382225449	0 20 32 98 122 140 152 182 240 270 282 300 324 390 402 422	2328191688732
STPT(10)	2935892727215858621	0 2 30 32 78 80 126 128 156 158	2356025321904