Prime p₀= 1458673076277456209 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: vanos0512
db: batch=78, k=10, 2 40 2 16 2

STPT(10)	1458671806499497547	0 2 24 26 42 44 60 62 84 86	-1269777958662
SPT(16)	1458671906941164931	0 10 46 58 78 120 126 168 250 292 298 340 360 372 408 418	-1169336291278
STPT(10)	1458672002366670137	0 2 54 56 72 74 90 92 144 146	-1073910786072
STPT(10)	1458672282826720397	0 2 60 62 102 104 144 146 204 206	-793450735812
SPT(16)	1458672541906475407	0 22 40 106 150 204 226 234 352 360 382 436 480 546 564 586	-534370980802
SPT(16)	1458673041286718239	0 12 24 52 72 82 124 132 160 168 210 220 240 268 280 292	-34990737970
SPT(16)	1458673143147463471	0 22 48 72 138 180 186 268 270 352 358 400 466 490 516 538	66870007262
SPT(16)	1458673364874574951	0 12 40 42 70 72 88 102 208 222 238 240 268 270 298 310	288597118742
STPT(10)	1458673561312808549	0 2 18 20 60 62 102 104 120 122	485035352340
SPT(16)	1458674298876208451	0 66 72 92 120 122 126 140 228 242 246 248 276 296 302 368	1222598752242
STPT(10)	1458674358159772751	0 2 6 8 48 50 90 92 96 98	1281882316542