Prime p₀= 2417587716174211307 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

TPT(14)	2417586708212160269	0 2 72 74 78 80 120 122 180 182 360 362 402 404	-1007962051038
STPT(12)	2417587026324910541	0 2 36 38 78 80 168 170 210 212 246 248	-689849300766
TPT(14)	2417587135907717729	0 2 42 44 180 182 198 200 222 224 228 230 300 302	-580266493578
SPT(16)	2417587170245882377	0 22 36 52 106 120 136 142 150 156 172 186 240 256 270 292	-545928328930
STPT(10)	2417587223977581179	0 2 18 20 30 32 42 44 60 62	-492196630128
SPT(16)	2417587678841488799	0 38 60 78 98 122 150 248 252 350 378 402 422 440 462 500	-37332722508
STPT(10)	2417587760278869707	0 2 12 14 42 44 72 74 84 86	44104658400
STPT(10)	2417587778902306991	0 2 36 38 78 80 120 122 156 158	62728095684
TPT(14)	2417588105966688761	0 2 30 32 96 98 120 122 150 152 168 170 198 200	389792477454
SPT(16)	2417588693737789183	0 34 40 76 78 96 108 120 154 166 178 196 198 234 240 274	977563577876
SPT(18)	2417588700602204881	0 70 82 112 126 138 192 208 252 286 330 346 400 412 426 456 468 538	984427993574