Prime p₀= 1286404611154939877 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: Cruncher Pete
db: batch=77, k=10, 2 10 2 28 2

STPT(10)	1286402548566505397	0 2 24 26 42 44 60 62 84 86	-2062588434480
STPT(10)	1286402577191073227	0 2 12 14 72 74 132 134 144 146	-2033963866650
STPT(10)	1286402814027983147	0 2 60 62 72 74 84 86 144 146	-1797126956730
STPT(12)	1286404072920574577	0 2 12 14 30 32 72 74 90 92 102 104	-538234365300
SPT(18)	1286404098086442031	0 22 48 72 90 118 126 162 168 190 196 232 240 268 286 310 336 358	-513068497846
SPT(16)	1286404581031069919	0 12 48 68 90 104 110 122 210 222 228 242 264 284 320 332	-30123869958
TPT(14)	1286404669383940019	0 2 60 62 90 92 132 134 138 140 168 170 342 344	58229000142
STPT(10)	1286404807768410131	0 2 6 8 48 50 90 92 96 98	196613470254
SPT(16)	1286405105920342139	0 32 68 72 110 114 138 182 270 314 338 342 380 384 420 452	494765402262
SPT(16)	1286405148551664931	0 12 58 88 100 108 118 126 142 150 160 168 180 210 256 268	537396725054
SPT(16)	1286405263610418253	0 30 46 96 100 150 168 178 186 196 214 264 268 318 334 364	652455478376