Prime p₀= 4305595892253204119 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)	4305594338276431021	0 28 40 96 108 120 132 138 220 226 238 250 262 318 330 358	-1553976773098
SPT(16)	4305594364137525917	0 2 24 56 80 132 156 164 222 230 254 306 330 362 384 386	-1528115678202
SPT(16)	4305594441998808649	0 4 10 22 34 42 64 84 88 108 130 138 150 162 168 172	-1450254395470
STPT(10)	4305594620326720709	0 2 18 20 30 32 42 44 60 62	-1271926483410
SPT(16)	4305594664893745409	0 2 50 92 120 138 140 158 222 240 242 260 288 330 378 380	-1227359458710
STPT(10)	4305594827048406161	0 2 6 8 48 50 90 92 96 98	-1065204797958
STPT(10)	4305596219690046269	0 2 18 20 30 32 42 44 60 62	327436842150
STPT(10)	4305596593446130217	0 2 42 44 72 74 102 104 144 146	701192926098
SPT(16)	4305597155880273361	0 16 30 42 120 132 142 148 210 216 226 238 316 328 342 358	1263627069242
TPT(16)	4305597714818488727	0 2 60 62 144 146 174 176 210 212 312 314 324 326 372 374	1822565284608
SPT(16)	4305597984921826223	0 44 80 108 140 156 164 276 308 420 428 444 476 504 540 584	2092668622104