Prime p₀= 2567091499478676347 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: [SG-FC] hl
db: batch=82, k=10, 2 58 2 10 2

SPT(16)	2567090495304569539	0 4 78 84 88 100 154 180 232 258 312 324 328 334 408 412	-1004174106808
SPT(16)	2567090779714701833	0 48 66 80 116 146 204 228 266 290 348 378 414 428 446 494	-719763974514
SPT(16)	2567091095769367703	0 6 68 90 98 138 176 188 216 228 266 306 314 336 398 404	-403709308644
SPT(16)	2567091126317664371	0 42 50 60 66 96 102 110 132 140 146 176 182 192 200 242	-373161011976
SPT(16)	2567091179789153419	0 24 28 34 52 58 78 112 120 154 174 180 198 204 208 232	-319689522928
STPT(10)	2567091482997298247	0 2 90 92 132 134 174 176 264 266	-16481378100
SPT(16)	2567091747475090109	0 18 24 30 60 68 134 138 224 228 294 302 332 338 344 362	247996413762
TPT(14)	2567091799976539727	0 2 24 26 90 92 180 182 204 206 210 212 300 302	300497863380
SPT(16)	2567092096087794589	0 34 88 108 124 150 210 222 250 262 322 348 364 384 438 472	596609118242
STPT(10)	2567092172648519741	0 2 36 38 78 80 120 122 156 158	673169843394
STPT(10)	2567092479139462529	0 2 12 14 90 92 168 170 180 182	979660786182