Prime p₀= 2810239689658316087 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: [SG-FC] hl
db: batch=82, k=10, 2 10 2 28 2

SPT(13)	2810237970554226427	0 24 36 96 120 210 270 330 420 444 504 516 540	-1719104089660
STPT(10)	2810238209788288127	0 2 30 32 60 62 90 92 120 122	-1479870027960
SPT(16)	2810238435549947749	0 18 22 90 204 252 312 348 364 400 460 508 622 690 694 712	-1254108368338
SPT(16)	2810238838108421777	0 2 12 32 44 80 84 110 156 182 186 222 234 254 264 266	-851549894310
STPT(10)	2810239220866139729	0 2 18 20 30 32 42 44 60 62	-468792176358
SPT(16)	2810239244125334977	0 46 82 90 106 132 154 186 190 222 244 270 286 294 330 376	-445532981110
STPT(10)	2810239947878553011	0 2 6 8 48 50 90 92 96 98	258220236924
STPT(10)	2810240169699871001	0 2 30 32 60 62 90 92 120 122	480041554914
SPT(16)	2810240286933953429	0 2 24 48 62 72 78 80 132 134 140 150 164 188 210 212	597275637342
STPT(10)	2810240335120271231	0 2 6 8 48 50 90 92 96 98	645461955144
SPT(16)	2810240397663313883	0 36 38 56 60 78 80 90 134 144 146 164 168 186 188 224	708004997796