Prime p₀= 2509176002339090597 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 40 2 40 2 58 2 (?)
a_n: 0 2 60 62 102 104 144 146 204 206
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: 206
Found by: Arkhenia
db: batch=82, k=10, 2 58 2 40 2

SPT(16)	2509174342629064421	0 2 20 26 50 72 86 152 240 306 320 342 366 372 390 392	-1659710026176
TPT(14)	2509174710575066951	0 2 138 140 258 260 300 302 336 338 390 392 396 398	-1291764023646
STPT(12)	2509175157261028469	0 2 12 14 42 44 48 50 78 80 90 92	-845078062128
SPT(16)	2509175336815786427	0 24 90 110 144 162 174 180 314 320 332 350 384 404 470 494	-665523304170
SPT(16)	2509175398140443569	0 4 12 28 54 60 94 118 144 168 202 208 234 250 258 262	-604198647028
STPT(10)	2509175878352055959	0 2 48 50 90 92 132 134 180 182	-123987034638
SPT(16)	2509176025381448023	0 28 90 100 130 178 210 216 220 226 258 306 336 346 408 436	23042357426
SPT(16)	2509176470765527333	0 36 40 78 108 130 148 154 390 396 414 436 466 504 508 544	468426436736
STPT(10)	2509176642117413249	0 2 42 44 60 62 78 80 120 122	639778322652
SPT(16)	2509177175879136227	0 2 50 90 122 126 170 192 194 216 260 264 296 336 384 386	1173540045630
TPT(14)	2509177880832663449	0 2 78 80 120 122 132 134 138 140 168 170 288 290	1878493572852