Prime p₀= 1081567838993514797 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: Theadalus
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	1081566351634407647	0 2 74 140 152 176 180 222 224 266 270 294 306 372 444 446	-1487359107150
SPT(16)	1081566381277591093	0 30 48 178 184 198 210 268 276 334 346 360 366 496 514 544	-1457715923704
SPT(16)	1081566790488380719	0 12 28 40 54 64 70 78 94 102 108 118 132 144 160 172	-1048505134078
SPT(18)	1081567000120503269	0 42 62 72 120 168 182 204 248 294 338 360 374 422 470 480 500 542	-838873011528
STPT(10)	1081567571443015337	0 2 72 74 102 104 132 134 204 206	-267550499460
STPT(12)	1081567671664589867	0 2 60 62 84 86 90 92 114 116 174 176	-167328924930
STPT(10)	1081567896634022849	0 2 18 20 30 32 42 44 60 62	57640508052
SPT(16)	1081568262357628189	0 42 72 100 112 174 180 300 322 442 448 510 522 550 580 622	423364113392
STPT(10)	1081568836537266557	0 2 30 32 42 44 54 56 84 86	997543751760
SPT(16)	1081568838899716949	0 14 38 48 74 78 80 108 260 288 290 294 320 330 354 368	999906202152
SPT(16)	1081569124390648889	0 8 78 90 158 228 242 270 272 300 314 384 452 464 534 542	1285397134092