Prime p₀= 2579623161474839531 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: JayPi
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2579622381902872321	0 36 52 66 70 82 100 130 162 192 210 222 226 240 256 292	-779571967210
STPT(10)	2579622414791557979	0 2 18 20 30 32 42 44 60 62	-746683281552
STPT(10)	2579622485413391387	0 2 54 56 72 74 90 92 144 146	-676061448144
SPT(16)	2579622524898955087	0 10 40 84 96 220 270 286 354 370 420 544 556 600 630 640	-636575884444
STPT(10)	2579623067778728141	0 2 30 32 78 80 126 128 156 158	-93696111390
STPT(12)	2579623073173030979	0 2 12 14 42 44 48 50 78 80 90 92	-88301808552
SPT(16)	2579623217156627909	0 50 78 114 144 164 182 204 368 390 408 428 458 494 522 572	55681788378
SPT(16)	2579623518949437479	0 68 98 110 128 140 200 242 288 330 390 402 420 432 462 530	357474597948
SPT(16)	2579623957057832297	0 2 32 84 120 126 132 162 224 254 260 266 302 354 384 386	795582992766
SPT(16)	2579624606645511121	0 16 22 28 42 78 118 130 198 210 250 286 300 306 312 328	1445170671590
SPT(16)	2579624796467917997	0 14 24 36 54 84 102 110 126 134 152 182 200 212 222 236	1634993078466