Prime p₀= 2468223134307950867 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)	2468221343779850777	0 2 30 32 42 44 54 56 84 86	-1790528100090
SPT(16)	2468221497933447449	0 20 42 48 50 74 78 84 188 194 198 222 224 230 252 272	-1636374503418
STPT(10)	2468221589288596247	0 2 30 32 42 44 54 56 84 86	-1545019354620
SPT(16)	2468221684158948919	0 34 84 88 90 94 138 144 154 160 204 208 210 214 264 298	-1450149001948
SPT(16)	2468222602506778057	0 6 52 70 72 94 96 132 184 220 222 244 246 264 310 316	-531801172810
TPT(14)	2468222885336214731	0 2 30 32 48 50 60 62 90 92 126 128 156 158	-248971736136
SPT(16)	2468223214109923337	0 12 20 56 104 116 200 222 224 246 330 342 390 426 434 446	79801972470
STPT(10)	2468223260172660041	0 2 6 8 18 20 30 32 36 38	125864709174
STPT(10)	2468223381488179487	0 2 12 14 72 74 132 134 144 146	247180228620
STPT(12)	2468223412921628051	0 2 18 20 30 32 126 128 138 140 156 158	278613677184
SPT(16)	2468223432509625211	0 16 70 108 130 142 166 196 222 252 276 288 310 348 402 418	298201674344