Prime p₀= 2549552920181986097 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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-2W]Kurzer
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2549549596729573289	0 42 60 68 120 132 180 194 258 272 320 332 384 392 410 452	-3323452412808
STPT(10)	2549549985871255691	0 2 36 38 78 80 120 122 156 158	-2934310730406
SPT(16)	2549550730468890859	0 12 78 102 120 154 162 168 184 190 198 232 250 274 340 352	-2189713095238
SPT(16)	2549552237037357427	0 16 36 64 84 100 106 120 130 144 150 166 186 214 234 250	-683144628670
SPT(16)	2549552612089738477	0 6 40 66 84 94 120 124 132 136 162 172 190 216 250 256	-308092247620
STPT(12)	2549552890578701351	0 2 66 68 78 80 198 200 210 212 276 278	-29603284746
STPT(10)	2549553533446462391	0 2 36 38 78 80 120 122 156 158	613264476294
SPT(16)	2549553722116850233	0 4 16 54 124 144 184 210 250 276 316 336 406 444 456 460	801934864136
STPT(10)	2549553861520747187	0 2 30 32 42 44 54 56 84 86	941338761090
SPT(16)	2549553875644065967	0 22 34 46 70 84 94 112 144 162 172 186 210 222 234 256	955462079870
STPT(10)	2549553890591227769	0 2 18 20 30 32 42 44 60 62	970409241672