Prime p₀= 4305596219690046269 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

SPT(16)	4305594364137525917	0 2 24 56 80 132 156 164 222 230 254 306 330 362 384 386	-1855552520352
SPT(16)	4305594441998808649	0 4 10 22 34 42 64 84 88 108 130 138 150 162 168 172	-1777691237620
STPT(10)	4305594620326720709	0 2 18 20 30 32 42 44 60 62	-1599363325560
SPT(16)	4305594664893745409	0 2 50 92 120 138 140 158 222 240 242 260 288 330 378 380	-1554796300860
STPT(10)	4305594827048406161	0 2 6 8 48 50 90 92 96 98	-1392641640108
STPT(10)	4305595892253204119	0 2 18 20 30 32 42 44 60 62	-327436842150
STPT(10)	4305596593446130217	0 2 42 44 72 74 102 104 144 146	373756083948
SPT(16)	4305597155880273361	0 16 30 42 120 132 142 148 210 216 226 238 316 328 342 358	936190227092
TPT(16)	4305597714818488727	0 2 60 62 144 146 174 176 210 212 312 314 324 326 372 374	1495128442458
SPT(16)	4305597984921826223	0 44 80 108 140 156 164 276 308 420 428 444 476 504 540 584	1765231779954
STPT(10)	4305598049073637409	0 2 18 20 30 32 42 44 60 62	1829383591140