Prime p₀= 2309258422998475979 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: Landjunge
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2309256376806358457	0 44 80 86 90 132 134 234 272 372 374 416 420 426 462 506	-2046192117522
SPT(16)	2309256673229510317	0 24 34 36 52 76 180 196 300 316 420 444 460 462 472 496	-1749768965662
SPT(16)	2309258002405876811	0 2 32 66 80 92 132 156 176 200 240 252 266 300 330 332	-420592599168
STPT(10)	2309258184108010139	0 2 12 14 90 92 168 170 180 182	-238890465840
STPT(10)	2309258190217819847	0 2 30 32 42 44 54 56 84 86	-232780656132
TPT(14)	2309258196174412757	0 2 30 32 42 44 150 152 162 164 180 182 264 266	-226824063222
SPT(16)	2309258563079887927	0 16 70 72 82 114 124 132 154 162 172 204 214 216 270 286	140081411948
STPT(10)	2309259237772676051	0 2 30 32 78 80 126 128 156 158	814774200072
STPT(10)	2309259341948067137	0 2 30 32 72 74 114 116 144 146	918949591158
STPT(10)	2309259352664610077	0 2 30 32 42 44 54 56 84 86	929666134098
STPT(12)	2309259366323346089	0 2 30 32 72 74 90 92 132 134 162 164	943324870110