Prime p₀= 4305594620326720709 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: Chooka
db: batch=85, k=10, 2 16 2 10 2

STPT(10)	4305593684547806921	0 2 6 8 48 50 90 92 96 98	-935778913788
SPT(16)	4305594128550924931	0 30 36 82 88 102 130 196 222 288 316 330 336 382 388 418	-491775795778
STPT(10)	4305594134936190137	0 2 30 32 42 44 54 56 84 86	-485390530572
SPT(16)	4305594338276431021	0 28 40 96 108 120 132 138 220 226 238 250 262 318 330 358	-282050289688
SPT(16)	4305594364137525917	0 2 24 56 80 132 156 164 222 230 254 306 330 362 384 386	-256189194792
SPT(16)	4305594441998808649	0 4 10 22 34 42 64 84 88 108 130 138 150 162 168 172	-178327912060
SPT(16)	4305594664893745409	0 2 50 92 120 138 140 158 222 240 242 260 288 330 378 380	44567024700
STPT(10)	4305594827048406161	0 2 6 8 48 50 90 92 96 98	206721685452
STPT(10)	4305595892253204119	0 2 18 20 30 32 42 44 60 62	1271926483410
STPT(10)	4305596219690046269	0 2 18 20 30 32 42 44 60 62	1599363325560
STPT(10)	4305596593446130217	0 2 42 44 72 74 102 104 144 146	1973119409508