Prime p₀= 1167311885065629617 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: Icecold
db: batch=77, k=10, 2 10 2 28 2

SPT(16)	1167310755130492529	0 14 60 68 74 84 138 140 198 200 254 264 270 278 324 338	-1129935137088
SPT(16)	1167310952439439177	0 12 16 84 90 96 100 112 144 156 160 166 172 240 244 256	-932626190440
STPT(10)	1167311317647547739	0 2 18 20 30 32 42 44 60 62	-567418081878
SPT(16)	1167311339871737197	0 12 30 40 42 76 102 142 144 184 210 244 246 256 274 286	-545193892420
SPT(16)	1167311425893313331	0 26 60 66 72 78 80 108 170 198 200 206 212 218 252 278	-459172316286
SPT(16)	1167311662387353541	0 60 66 78 88 108 130 196 210 276 298 318 328 340 346 406	-222678276076
SPT(16)	1167311972421352613	0 14 30 38 60 78 114 120 164 170 206 224 246 254 270 284	87355722996
STPT(10)	1167311995970700647	0 2 12 14 42 44 72 74 84 86	110905071030
TPT(14)	1167312025418332679	0 2 42 44 72 74 90 92 132 134 240 242 252 254	140352703062
STPT(10)	1167312042411178721	0 2 36 38 78 80 120 122 156 158	157345549104
STPT(10)	1167312265916499917	0 2 30 32 42 44 54 56 84 86	380850870300