Prime p₀= 2576051770165800527 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: Penguin
db: batch=82, k=10, 2 10 2 28 2

STPT(10)	2576050005584223977	0 2 12 14 72 74 132 134 144 146	-1764581576550
TPT(14)	2576050327447863239	0 2 30 32 78 80 138 140 162 164 180 182 288 290	-1442717937288
SPT(16)	2576050425546632261	0 36 56 66 80 96 110 122 126 138 152 168 182 192 212 248	-1344619168266
STPT(10)	2576050765502425031	0 2 6 8 18 20 30 32 36 38	-1004663375496
SPT(16)	2576051547465951619	0 10 12 22 30 52 58 142 150 234 240 262 270 280 282 292	-222699848908
SPT(16)	2576051601357305161	0 10 12 28 52 102 112 138 142 168 178 228 252 268 270 280	-168808495366
SPT(16)	2576052198791464333	0 30 36 70 106 114 120 150 334 364 370 378 414 448 454 484	428625663806
STPT(10)	2576052304335624869	0 2 18 20 30 32 42 44 60 62	534169824342
SPT(16)	2576052359072863417	0 4 40 52 82 90 112 132 172 192 214 222 252 264 300 304	588907062890
STPT(10)	2576053006167384617	0 2 30 32 42 44 54 56 84 86	1236001584090
STPT(10)	2576053361605835117	0 2 30 32 42 44 54 56 84 86	1591440034590