Prime p₀= 2307398543407952567 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: [SG-FC] hl
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2307397373988404249	0 12 32 54 144 168 170 192 200 222 224 248 338 360 380 392	-1169419548318
STPT(10)	2307397653170732009	0 2 18 20 30 32 42 44 60 62	-890237220558
STPT(10)	2307397729096140977	0 2 30 32 102 104 174 176 204 206	-814311811590
STPT(10)	2307397759266006191	0 2 36 38 78 80 120 122 156 158	-784141946376
SPT(16)	2307398528222703449	0 48 72 80 98 122 144 158 174 188 210 234 252 260 284 332	-15185249118
STPT(10)	2307398534614309229	0 2 18 20 30 32 42 44 60 62	-8793643338
STPT(10)	2307398594173680911	0 2 120 122 138 140 156 158 276 278	50765728344
SPT(16)	2307398802973339447	0 12 16 22 36 52 64 72 94 102 114 130 144 150 154 166	259565386880
SPT(20)	2307398877682318831	0 46 48 78 82 88 232 288 328 372 466 510 550 606 750 756 760 790 792 838	334274366264
SPT(16)	2307398979618935747	0 6 44 56 72 86 122 140 156 174 210 224 240 252 290 296	436210983180
SPT(16)	2307399360945935209	0 100 114 142 160 178 262 274 408 420 504 522 540 568 582 682	817537982642