Prime p₀= 2354958073188938219 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Landjunge
db: batch=81, k=10, 2 28 2 28 2

SPT(16)	2354956725000711709	0 10 28 54 70 100 142 204 268 330 372 402 418 444 462 472	-1348188226510
STPT(10)	2354957328561719969	0 2 42 44 150 152 258 260 300 302	-744627218250
SPT(16)	2354957511516983663	0 6 30 44 66 90 114 120 134 140 164 188 210 224 248 254	-561671954556
SPT(16)	2354957675236105999	0 12 28 48 90 118 124 132 190 198 204 232 274 294 310 322	-397952832220
SPT(16)	2354957850714549341	0 2 30 42 62 72 98 120 140 162 188 198 218 230 258 260	-222474388878
STPT(10)	2354957934545808479	0 2 18 20 30 32 42 44 60 62	-138643129740
SPT(16)	2354958294729718141	0 6 16 36 52 58 72 78 100 106 120 126 142 162 172 178	221540779922
STPT(10)	2354958760636896809	0 2 48 50 90 92 132 134 180 182	687447958590
STPT(10)	2354958815247503417	0 2 30 32 42 44 54 56 84 86	742058565198
STPT(10)	2354958958176726437	0 2 30 32 42 44 54 56 84 86	884987788218
STPT(10)	2354959218541931117	0 2 30 32 42 44 54 56 84 86	1145352992898