Prime p₀= 4305835501543825817 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Chooka
db: batch=85, k=10, 2 10 2 28 2

STPT(10)	4305832975713773561	0 2 36 38 78 80 120 122 156 158	-2525830052256
STPT(10)	4305833645542928489	0 2 12 14 90 92 168 170 180 182	-1856000897328
STPT(10)	4305833715727247489	0 2 30 32 60 62 90 92 120 122	-1785816578328
TPT(14)	4305834129180211721	0 2 30 32 36 38 60 62 210 212 288 290 300 302	-1372363614096
SPT(16)	4305835203631665541	0 76 82 90 102 120 216 238 270 292 388 406 418 426 432 508	-297912160276
STPT(10)	4305835380105127367	0 2 30 32 72 74 114 116 144 146	-121438698450
STPT(10)	4305835585356797027	0 2 30 32 42 44 54 56 84 86	83812971210
STPT(10)	4305835683507014939	0 2 18 20 60 62 102 104 120 122	181963189122
SPT(16)	4305836124408016421	0 62 108 110 188 210 230 252 278 300 320 342 420 422 468 530	622864190604
SPT(16)	4305836370916042483	0 28 48 76 120 138 156 166 240 250 268 286 330 358 378 406	869372216666
SPT(16)	4305836734117729003	0 18 40 48 64 78 118 160 174 216 256 270 286 294 316 334	1232573903186