Prime p₀= 2367164773571267609 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: paulteo
db: batch=81, k=10, 2 28 2 28 2

SPT(16)	2367164297032506157	0 40 64 84 96 130 132 174 202 244 246 280 292 312 336 376	-476538761452
SPT(16)	2367164306277979751	0 32 50 60 86 96 110 132 140 162 176 186 212 222 240 272	-467293287858
SPT(16)	2367164321519731033	0 16 84 108 136 138 150 154 240 244 256 258 286 310 378 394	-452051536576
SPT(16)	2367164367380334859	0 18 28 42 54 60 94 102 130 138 172 178 190 204 214 232	-406190932750
TPT(14)	2367164446741677767	0 2 42 44 60 62 72 74 84 86 114 116 162 164	-326829589842
SPT(16)	2367164734180819789	0 10 52 60 72 88 102 178 234 310 324 340 352 360 402 412	-39390447820
SPT(16)	2367164920275543263	0 14 30 38 44 98 128 156 248 276 306 360 366 374 390 404	146704275654
SPT(16)	2367165402859774493	0 170 174 204 216 264 300 324 326 350 386 434 446 476 480 650	629288506884
SPT(16)	2367165458741788319	0 30 32 114 192 224 234 240 284 290 300 332 410 492 494 524	685170520710
TPT(14)	2367165701781388139	0 2 30 32 60 62 78 80 162 164 228 230 300 302	928210120530
SPT(16)	2367165733603711367	0 20 26 42 60 62 92 96 140 144 174 176 194 210 216 236	960032443758