Prime p₀= 2322678274153984457 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: arkiss
db: batch=81, k=10, 2 10 2 28 2

STPT(10)	2322676761159927959	0 2 48 50 90 92 132 134 180 182	-1512994056498
STPT(10)	2322677214958787129	0 2 42 44 60 62 78 80 120 122	-1059195197328
SPT(16)	2322677423926640647	0 10 66 76 84 94 102 132 154 184 192 202 210 220 276 286	-850227343810
SPT(16)	2322677506580836891	0 6 40 66 106 162 192 210 232 250 280 336 376 402 436 442	-767573147566
SPT(16)	2322677659873775903	0 18 30 56 200 216 230 290 444 504 518 534 678 704 716 734	-614280208554
SPT(16)	2322678210936196769	0 12 80 110 144 152 164 182 192 210 222 230 264 294 362 374	-63217787688
STPT(12)	2322678423400455047	0 2 54 56 90 92 174 176 210 212 264 266	149246470590
SPT(16)	2322679222683830917	0 46 54 60 76 90 102 114 142 154 166 180 196 202 210 256	948529846460
SPT(16)	2322679329984584587	0 4 46 52 64 66 126 130 216 220 280 282 294 300 342 346	1055830600130
SPT(16)	2322679508238470279	0 8 12 42 48 78 110 132 140 162 194 224 230 260 264 272	1234084485822
SPT(16)	2322679935941537339	0 14 24 38 60 98 102 104 228 230 234 272 294 308 318 332	1661787552882