Prime p₀= 1286298020706239267 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: stoneageman
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1286296717034996111	0 2 30 42 48 98 132 188 210 266 300 350 356 368 396 398	-1303671243156
STPT(10)	1286297506623206261	0 2 30 32 60 62 90 92 120 122	-514083033006
STPT(10)	1286297673599166971	0 2 66 68 138 140 210 212 276 278	-347107072296
SPT(16)	1286297738546229907	0 12 16 36 54 60 82 112 114 144 166 172 190 210 214 226	-282160009360
SPT(16)	1286297856757301719	0 4 22 64 78 88 100 108 154 162 174 184 198 240 258 262	-163948937548
STPT(10)	1286297935855862099	0 2 18 20 60 62 102 104 120 122	-84850377168
SPT(16)	1286298104540674343	0 18 30 68 74 96 114 140 144 170 188 210 216 254 266 284	83834435076
SPT(16)	1286298301191144383	0 50 80 86 104 134 140 176 198 234 240 270 288 294 324 374	280484905116
STPT(10)	1286298692865720881	0 2 6 8 48 50 90 92 96 98	672159481614
STPT(12)	1286299022621789717	0 2 60 62 72 74 90 92 102 104 162 164	1001915550450
SPT(16)	1286299037153795053	0 28 30 148 160 166 184 214 240 270 288 294 306 424 426 454	1016447555786