Prime p₀= 2421716403166259777 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: arkiss
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2421714561910741003	0 4 48 54 58 60 64 70 174 180 184 186 190 196 240 244	-1841255518774
SPT(16)	2421714663790773979	0 12 34 60 82 88 94 112 150 168 174 180 202 228 250 262	-1739375485798
STPT(10)	2421714667390153139	0 2 42 44 90 92 138 140 180 182	-1735776106638
SPT(16)	2421714684929589667	0 10 24 36 46 52 70 114 142 186 204 210 220 232 246 256	-1718236670110
STPT(10)	2421715372360026047	0 2 30 32 42 44 54 56 84 86	-1030806233730
SPT(16)	2421715810102542697	0 16 42 46 52 66 100 106 150 156 190 204 210 214 240 256	-593063717080
SPT(16)	2421717191080884731	0 48 66 126 146 150 158 168 170 180 188 192 212 272 290 338	787914624954
SPT(16)	2421717410340981301	0 42 66 70 118 120 162 168 190 196 238 240 288 292 316 358	1007174721524
STPT(10)	2421717810548195189	0 2 18 20 30 32 42 44 60 62	1407381935412
STPT(10)	2421718057357521677	0 2 30 32 42 44 54 56 84 86	1654191261900
STPT(10)	2421718072750001321	0 2 6 8 18 20 30 32 36 38	1669583741544