Prime p₀= 2417586497623371257 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	2417585869529941079	0 2 12 14 30 32 48 50 60 62	-628093430178
SPT(18)	2417585997062257391	0 12 38 62 86 102 132 146 168 170 192 206 236 252 276 300 326 338	-500561113866
STPT(10)	2417586123100311641	0 2 30 32 78 80 126 128 156 158	-374523059616
STPT(10)	2417586248843386079	0 2 18 20 30 32 42 44 60 62	-248779985178
SPT(16)	2417586309681904733	0 14 38 60 66 80 84 108 116 140 144 158 164 186 210 224	-187941466524
SPT(16)	2417586469294969079	0 18 38 50 78 104 132 162 170 200 228 254 282 294 314 332	-28328402178
TPT(14)	2417586708212160269	0 2 72 74 78 80 120 122 180 182 360 362 402 404	210588789012
STPT(12)	2417587026324910541	0 2 36 38 78 80 168 170 210 212 246 248	528701539284
TPT(14)	2417587135907717729	0 2 42 44 180 182 198 200 222 224 228 230 300 302	638284346472
SPT(16)	2417587170245882377	0 22 36 52 106 120 136 142 150 156 172 186 240 256 270 292	672622511120
STPT(10)	2417587223977581179	0 2 18 20 30 32 42 44 60 62	726354209922