Prime p₀= 2315729827240341539 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Landjunge
db: batch=81, k=10, 2 16 2 10 2

STPT(10)	2315727184228266671	0 2 30 32 78 80 126 128 156 158	-2643012074868
TPT(14)	2315727854785800179	0 2 30 32 48 50 60 62 90 92 132 134 138 140	-1972454541360
SPT(16)	2315727856569526433	0 30 80 108 138 150 194 240 308 354 398 410 440 468 518 548	-1970670815106
STPT(10)	2315728457012670611	0 2 6 8 18 20 30 32 36 38	-1370227670928
SPT(16)	2315728933507724107	0 46 72 106 114 190 234 270 286 322 366 442 450 484 510 556	-893732617432
STPT(10)	2315729371153574417	0 2 30 32 42 44 54 56 84 86	-456086767122
STPT(10)	2315730134924308481	0 2 36 38 78 80 120 122 156 158	307683966942
TPT(14)	2315730519100669079	0 2 162 164 168 170 222 224 300 302 378 380 390 392	691860327540
SPT(16)	2315730641022959389	0 12 40 42 64 130 144 162 172 190 204 270 292 294 322 334	813782617850
TPT(14)	2315730733863238589	0 2 30 32 42 44 60 62 72 74 78 80 120 122	906622897050
STPT(10)	2315730757126895741	0 2 6 8 48 50 90 92 96 98	929886554202