Prime p₀= 2364048273841539557 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: JonS
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2364047248288650307	0 4 22 40 42 52 82 102 154 174 204 214 216 234 252 256	-1025552889250
SPT(16)	2364047510930819381	0 6 20 68 72 132 152 192 296 336 356 416 420 468 482 488	-762910720176
TPT(18)	2364047557999186259	0 2 168 170 222 224 252 254 270 272 312 314 378 380 462 464 492 494	-715842353298
STPT(10)	2364047624003265251	0 2 6 8 18 20 30 32 36 38	-649838274306
STPT(10)	2364047857917912107	0 2 30 32 42 44 54 56 84 86	-415923627450
SPT(16)	2364048002016523307	0 14 42 102 146 156 170 176 240 246 260 270 314 374 402 416	-271825016250
STPT(10)	2364048465851273021	0 2 6 8 18 20 30 32 36 38	192009733464
SPT(16)	2364048768960326741	0 38 56 60 62 132 138 152 186 200 206 276 278 282 300 338	495118787184
SPT(16)	2364049871035268287	0 46 82 102 126 144 174 180 286 292 322 340 364 384 420 466	1597193728730
SPT(16)	2364050012654988551	0 18 32 50 56 78 90 180 188 278 290 312 318 336 350 368	1738813448994
SPT(16)	2364050017649562083	0 6 44 50 56 128 156 168 176 188 216 288 294 300 338 344	1743808022526