Prime p₀= 2364105177672845861 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 130 2 130 2 34 2 (?)
a_n: 0 2 36 38 168 170 300 302 336 338
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: 338
Found by: Landjunge
db: batch=81, k=10, 2 34 2 130 2

SPT(16)	2364103251670415327	0 2 24 30 56 66 90 92 114 116 140 150 176 182 204 206	-1926002430534
STPT(10)	2364103446533091449	0 2 18 20 30 32 42 44 60 62	-1731139754412
SPT(20)	2364103865829553937	0 42 66 92 116 162 180 182 224 276 320 372 414 416 434 480 504 530 554 596	-1311843291924
STPT(10)	2364104557919600057	0 2 42 44 72 74 102 104 144 146	-619753245804
STPT(10)	2364104605863249647	0 2 30 32 72 74 114 116 144 146	-571809596214
STPT(10)	2364105076606021247	0 2 42 44 72 74 102 104 144 146	-101066824614
TPT(14)	2364105231475028891	0 2 36 38 66 68 78 80 90 92 210 212 300 302	53802183030
SPT(16)	2364105414109229071	0 10 12 36 42 58 66 78 130 142 150 166 172 196 198 208	236436383210
SPT(16)	2364105511391337643	0 10 18 24 40 48 54 70 108 124 130 138 154 160 168 178	333718491782
SPT(16)	2364105569588696347	0 10 124 162 204 222 232 234 280 282 292 310 352 390 504 514	391915850486
TPT(14)	2364105648064357361	0 2 36 38 108 110 138 140 168 170 216 218 306 308	470391511500