Prime p₀= 570397594076233289 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: [SG-2W]Kurzer
db: batch=71, k=10, 2 40 2 16 2

SPT(14)	570397476128956907	0 2 6 26 36 56 72 74 90 110 120 140 144 146	-117947276382
SPT(14)	570397479878150719	0 42 78 82 138 222 238 264 280 364 420 424 460 502	-114198082570
SPT(14)	570397495667675603	0 6 26 48 78 104 156 158 210 236 266 288 308 314	-98408557686
TPT(12)	570397530015954029	0 2 48 50 102 104 210 212 270 272 312 314	-64060279260
SPT(14)	570397570361598097	0 16 30 70 100 114 136 144 166 180 210 250 264 280	-23714635192
SPT(14)	570397580371784647	0 10 16 40 42 52 76 150 174 184 186 210 216 226	-13704448642
SPT(14)	570397606947695869	0 28 34 42 52 90 102 160 172 210 220 228 234 262	12871462580
TPT(12)	570397612554800999	0 2 12 14 48 50 90 92 132 134 168 170	18478567710
STPT(10)	570397612554801011	0 2 36 38 78 80 120 122 156 158	18478567722
TPT(12)	570397624017710231	0 2 30 32 120 122 276 278 306 308 330 332	29941476942
SPT(14)	570397624818694573	0 6 18 28 54 96 106 108 118 160 186 196 208 214	30742461284