Prime p₀= 813606316577591291 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 124 2 10 2 10 2 124 2 (?)
a_n: 0 2 126 128 138 140 150 152 276 278
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: 278
Found by: matali
db: batch=73, k=10, 2 124 2 10 2

STPT(10)	813604846855637069	0 2 48 50 60 62 72 74 120 122	-1469721954222
STPT(10)	813604954536273041	0 2 6 8 18 20 30 32 36 38	-1362041318250
STPT(10)	813605033903834069	0 2 42 44 60 62 78 80 120 122	-1282673757222
STPT(10)	813605230348136951	0 2 6 8 48 50 90 92 96 98	-1086229454340
SPT(16)	813605628243747379	0 40 118 120 130 138 172 190 192 210 244 252 262 264 342 382	-688333843912
SPT(16)	813605642730997481	0 30 60 110 126 186 236 242 276 282 332 392 408 458 488 518	-673846593810
SPT(16)	813606347325133619	0 60 78 140 158 188 192 210 350 368 372 402 420 482 500 560	30747542328
STPT(10)	813606488580722279	0 2 18 20 60 62 102 104 120 122	172003130988
SPT(16)	813606563613602881	0 28 36 42 72 78 108 118 240 250 280 286 316 322 330 358	247036011590
SPT(16)	813606967938970729	0 34 84 132 150 154 192 210 244 262 300 304 322 370 420 454	651361379438
SPT(16)	813607081819131547	0 6 22 52 72 82 100 112 120 132 150 160 180 210 226 232	765241540256