Prime p₀= 2305790907145402277 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Landjunge
db: batch=81, k=10, 2 28 2 10 2

STPT(10)	2305789238796219731	0 2 36 38 78 80 120 122 156 158	-1668349182546
SPT(16)	2305789719355587293	0 14 20 24 44 180 230 234 236 240 290 426 446 450 456 470	-1187789814984
TPT(14)	2305789771624530239	0 2 12 14 180 182 198 200 252 254 270 272 312 314	-1135520872038
SPT(13)	2305790262932785789	0 12 24 42 84 90 132 174 180 222 240 252 264	-644212616488
STPT(10)	2305790506556676941	0 2 6 8 48 50 90 92 96 98	-400588725336
SPT(16)	2305790835558538613	0 20 48 54 84 90 126 134 150 158 194 200 230 236 264 284	-71586863664
SPT(16)	2305791050545778659	0 28 30 100 108 112 118 162 238 282 288 292 300 370 372 400	143400376382
STPT(10)	2305791078067100381	0 2 6 8 18 20 30 32 36 38	170921698104
STPT(10)	2305791105738745949	0 2 42 44 60 62 78 80 120 122	198593343672
SPT(16)	2305791204514951609	0 4 54 58 88 144 150 184 234 268 274 330 360 364 414 418	297369549332
STPT(10)	2305791404417912231	0 2 6 8 18 20 30 32 36 38	497272509954